How to Find GCF of 5627/688, 2536/6316?

GCF of 5627/688, 2536/6316

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 5627/688, 2536/6316 i.e 1/1086352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5627/688, 2536/6316.

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 5627/688,2536/6316?

Given fractions are 5627/688,2536/6316

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 5627/688,2536/6316, numerators are 5627,2536

Denominators are 688,6316

The GCF of 5627,2536 is 1 .

LCM of 688,6316 is 1086352.

The greatest common factor of 5627/688,2536/6316 = [GCF of 5627,2536]/[LCM of 688,6316]= 1/1086352

Therefore, the GCF of 5627/688,2536/6316 is 1/1086352.

Greatest Common Factor of 5627,2536

To find the highest common factor of 5627,2536, we have to find the factors of both numbers and list the highest common factor.

The factors of 5627 are 1, 17, 331, 5627

The factors of 2536 are 1, 2, 4, 8, 317, 634, 1268, 2536

The HCF of 5627,2536 is 1.

Lets's calculate GCF of 5627,2536

Greatest Common Factor (GCF) of 5627,2536 By Common Division

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

Greatest Common Factor of 5627,2536 By Matching Biggest Common Factor Method

Now, list down the factors of 5627

1,17,331,5627

Now, list down the factors of 2536

1,2,4,8,317,634,1268,2536

Greatest Common Factor

We found the factors 5627,2536 . The biggest common factor number is the GCF number.
So the greatest common factor 5627,2536 is 1.

Lets's calculate LCM of 688,6316

Lowest Common Multiple of 688,6316 using Common Division

2	688, 6316
2	344, 3158
	172, 1579

∴ So the LCM of the given numbers is 2 x 2 x 172 x 1579 = 1086352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1086352

Therefore, the GCF of Fractions 5627/688,2536/6316 is 1/1086352

Least Common Multiple of 688,6316 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 688,6316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,6316) = 4

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

GCF(688,6316) x common factors =4 x 1 = 4

LCM(688,6316) = ( 688 × 6316 ) / 4

LCM(688,6316) = 4345408 / 4

LCM(688,6316) = 1086352

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FAQs on GCF of Fractions of 5627/688, 2536/6316

1. What is the HCF of 5627,2536?

The HCF of 5627,2536 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 5627/688, 2536/6316?

Answer: GCF of Numerators as per given numbers 5627/688, 2536/6316 is

GCF of Numerators i.e. for 5627,2536 is 1

LCM of denominators i.e. for 688,6316 is 1086352.

Thus, GCF of Fractions is 1/1086352.Finally, GCF of Fractions for 5627/688, 2536/6316 is 1/1086352.