LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 887/210, 6294/208

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 887/210, 6294/208 i.e 1/21840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/210, 6294/208.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 887/210,6294/208?

Given fractions are 887/210,6294/208

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 887/210,6294/208, numerators are 887,6294

Denominators are 210,208

The GCF of 887,6294 is 1 .

LCM of 210,208 is 21840.

The greatest common factor of 887/210,6294/208 = [GCF of 887,6294]/[LCM of 210,208]= 1/21840

Therefore, the GCF of 887/210,6294/208 is 1/21840.

Greatest Common Factor of 887,6294

To find the highest common factor of 887,6294, we have to find the factors of both numbers and list the highest common factor.

The factors of 887 are 1, 887

The factors of 6294 are 1, 2, 3, 6, 1049, 2098, 3147, 6294

The HCF of 887,6294 is 1.

Lets's calculate GCF of 887,6294

Greatest Common Factor (GCF) of 887,6294 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 887,6294 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,6294 By Matching Biggest Common Factor Method

Now, list down the factors of 887

:

1,887

Now, list down the factors of 6294

:

1,2,3,6,1049,2098,3147,6294

Greatest Common Factor

We found the factors 887,6294 . The biggest common factor number is the GCF number.
So the greatest common factor 887,6294 is 1.

Lets's calculate LCM of 210,208

Lowest Common Multiple of 210,208 using Common Division

2 210, 208
105, 104

∴ So the LCM of the given numbers is 2 x 105 x 104 = 21840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21840

Therefore, the GCF of Fractions 887/210,6294/208 is 1/21840

Least Common Multiple of 210,208 with GCF Formula

Least Common Multiple of 210,208 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 210,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,208) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(210,208) x common factors =2 x 1 = 2

LCM(210,208) = ( 210 × 208 ) / 2

LCM(210,208) = 43680 / 2

LCM(210,208) = 21840


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 887/210, 6294/208

1. What is the HCF of 887,6294?

The HCF of 887,6294 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 887/210, 6294/208?

Answer: GCF of Numerators as per given numbers 887/210, 6294/208 is

GCF of Numerators i.e. for 887,6294 is 1

LCM of denominators i.e. for 210,208 is 21840.

Thus, GCF of Fractions is 1/21840.Finally, GCF of Fractions for 887/210, 6294/208 is 1/21840.