How to Find GCF of 2508/907, 7727/6230?

GCF of 2508/907, 7727/6230

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 2508/907, 7727/6230 i.e 1/5650610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2508/907, 7727/6230.

Enter two or more fractions separated by "commas"

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

What is the GCF of 2508/907,7727/6230?

Given fractions are 2508/907,7727/6230

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 2508/907,7727/6230, numerators are 2508,7727

Denominators are 907,6230

The GCF of 2508,7727 is 1 .

LCM of 907,6230 is 5650610.

The greatest common factor of 2508/907,7727/6230 = [GCF of 2508,7727]/[LCM of 907,6230]= 1/5650610

Therefore, the GCF of 2508/907,7727/6230 is 1/5650610.

Greatest Common Factor of 2508,7727

To find the highest common factor of 2508,7727, we have to find the factors of both numbers and list the highest common factor.

The factors of 2508 are 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508

The factors of 7727 are 1, 7727

The HCF of 2508,7727 is 1.

Lets's calculate GCF of 2508,7727

Greatest Common Factor (GCF) of 2508,7727 By Common Division

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

Greatest Common Factor of 2508,7727 By Matching Biggest Common Factor Method

Now, list down the factors of 2508

1,2,3,4,6,11,12,19,22,33,38,44,57,66,76,114,132,209,228,418,627,836,1254,2508

Now, list down the factors of 7727

1,7727

Greatest Common Factor

We found the factors 2508,7727 . The biggest common factor number is the GCF number.
So the greatest common factor 2508,7727 is 1.

Lets's calculate LCM of 907,6230

Lowest Common Multiple of 907,6230 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5650610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5650610

Therefore, the GCF of Fractions 2508/907,7727/6230 is 1/5650610

Least Common Multiple of 907,6230 with GCF Formula

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

We need to calculate greatest common factor of 907,6230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,6230) = 1

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

GCF(907,6230) x common factors =1 x 1 = 1

LCM(907,6230) = ( 907 × 6230 ) / 1

LCM(907,6230) = 5650610 / 1

LCM(907,6230) = 5650610

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2508/907, 7727/6230

1. What is the HCF of 2508,7727?

The HCF of 2508,7727 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 2508/907, 7727/6230?

Answer: GCF of Numerators as per given numbers 2508/907, 7727/6230 is

GCF of Numerators i.e. for 2508,7727 is 1

LCM of denominators i.e. for 907,6230 is 5650610.

Thus, GCF of Fractions is 1/5650610.Finally, GCF of Fractions for 2508/907, 7727/6230 is 1/5650610.