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 278/77, 716/6929

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 278/77, 716/6929 i.e 2/533533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 278/77, 716/6929.

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 278/77,716/6929?

Given fractions are 278/77,716/6929

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 278/77,716/6929, numerators are 278,716

Denominators are 77,6929

The GCF of 278,716 is 2 .

LCM of 77,6929 is 533533.

The greatest common factor of 278/77,716/6929 = [GCF of 278,716]/[LCM of 77,6929]= 2/533533

Therefore, the GCF of 278/77,716/6929 is 2/533533.

Greatest Common Factor of 278,716

To find the highest common factor of 278,716, we have to find the factors of both numbers and list the highest common factor.

The factors of 278 are 1, 2, 139, 278

The factors of 716 are 1, 2, 4, 179, 358, 716

The HCF of 278,716 is 2.

Lets's calculate GCF of 278,716

Greatest Common Factor (GCF) of 278,716 By Common Division

2 278, 716
139, 358

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 278,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,716 By Matching Biggest Common Factor Method

Now, list down the factors of 278

:

1,2,139,278

Now, list down the factors of 716

:

1,2,4,179,358,716

Greatest Common Factor

We found the factors 278,716 . The biggest common factor number is the GCF number.
So the greatest common factor 278,716 is 2.

Lets's calculate LCM of 77,6929

Lowest Common Multiple of 77,6929 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 533533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/533533

Therefore, the GCF of Fractions 278/77,716/6929 is 2/533533

Least Common Multiple of 77,6929 with GCF Formula

Least Common Multiple of 77,6929 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 77,6929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,6929) = 1

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

GCF(77,6929) x common factors =1 x 1 = 1

LCM(77,6929) = ( 77 × 6929 ) / 1

LCM(77,6929) = 533533 / 1

LCM(77,6929) = 533533


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 278/77, 716/6929

1. What is the HCF of 278,716?

The HCF of 278,716 is 2

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 278/77, 716/6929?

Answer: GCF of Numerators as per given numbers 278/77, 716/6929 is

GCF of Numerators i.e. for 278,716 is 2

LCM of denominators i.e. for 77,6929 is 533533.

Thus, GCF of Fractions is 2/533533.Finally, GCF of Fractions for 278/77, 716/6929 is 2/533533.