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 251/77, 274/717

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 251/77, 274/717 i.e 1/55209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 251/77, 274/717.

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 251/77,274/717?

Given fractions are 251/77,274/717

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 251/77,274/717, numerators are 251,274

Denominators are 77,717

The GCF of 251,274 is 1 .

LCM of 77,717 is 55209.

The greatest common factor of 251/77,274/717 = [GCF of 251,274]/[LCM of 77,717]= 1/55209

Therefore, the GCF of 251/77,274/717 is 1/55209.

Greatest Common Factor of 251,274

To find the highest common factor of 251,274, we have to find the factors of both numbers and list the highest common factor.

The factors of 251 are 1, 251

The factors of 274 are 1, 2, 137, 274

The HCF of 251,274 is 1.

Lets's calculate GCF of 251,274

Greatest Common Factor (GCF) of 251,274 By Common Division

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

Greatest Common Factor of 251,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,274 By Matching Biggest Common Factor Method

Now, list down the factors of 251

:

1,251

Now, list down the factors of 274

:

1,2,137,274

Greatest Common Factor

We found the factors 251,274 . The biggest common factor number is the GCF number.
So the greatest common factor 251,274 is 1.

Lets's calculate LCM of 77,717

Lowest Common Multiple of 77,717 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 55209

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55209

Therefore, the GCF of Fractions 251/77,274/717 is 1/55209

Least Common Multiple of 77,717 with GCF Formula

Least Common Multiple of 77,717 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 77,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,717) = 1

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

GCF(77,717) x common factors =1 x 1 = 1

LCM(77,717) = ( 77 × 717 ) / 1

LCM(77,717) = 55209 / 1

LCM(77,717) = 55209


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 251/77, 274/717

1. What is the HCF of 251,274?

The HCF of 251,274 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 251/77, 274/717?

Answer: GCF of Numerators as per given numbers 251/77, 274/717 is

GCF of Numerators i.e. for 251,274 is 1

LCM of denominators i.e. for 77,717 is 55209.

Thus, GCF of Fractions is 1/55209.Finally, GCF of Fractions for 251/77, 274/717 is 1/55209.