How to Find GCF of 25/688, 967/936, 536/637?

GCF of 25/688, 967/936, 536/637

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 25/688, 967/936, 536/637 i.e 1/3944304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/688, 967/936, 536/637.

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 25/688,967/936,536/637?

Given fractions are 25/688,967/936,536/637

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 25/688,967/936,536/637, numerators are 25,967,536

Denominators are 688,936,637

The GCF of 25,967,536 is 1 .

LCM of 688,936,637 is 3944304.

The greatest common factor of 25/688,967/936,536/637 = [GCF of 25,967,536]/[LCM of 688,936,637]= 1/3944304

Therefore, the GCF of 25/688,967/936,536/637 is 1/3944304.

Greatest Common Factor of 25,967,536

To find the highest common factor of 25,967,536, we have to find the factors of both numbers and list the highest common factor.

The factors of 25 are 1, 5, 25

The factors of 967 are 1, 967

The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536

The HCF of 25,967,536 is 1.

Lets's calculate GCF of 25,967,536

Greatest Common Factor (GCF) of 25,967,536 By Common Division

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

Greatest Common Factor of 25,967,536 By Matching Biggest Common Factor Method

Now, list down the factors of 25

1,5,25

Now, list down the factors of 967

1,967

Now, list down the factors of 536

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 25,967,536 . The biggest common factor number is the GCF number.
So the greatest common factor 25,967,536 is 1.

Lets's calculate LCM of 688,936,637

Lowest Common Multiple of 688,936,637 using Common Division

2	688, 936, 637
2	344, 468, 637
2	172, 234, 637
13	86, 117, 637
	86, 9, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 86 x 9 x 49 = 3944304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3944304

Therefore, the GCF of Fractions 25/688,967/936,536/637 is 1/3944304

Least Common Multiple of 688,936,637 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 688,936,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,936,637) = 1

common factors(in case of two or more numbers have common factors) = 104

GCF(688,936,637) x common factors =1 x 104 = 104

LCM(688,936,637) = ( 688 × 936 × 637 ) / 104

LCM(688,936,637) = 410207616 / 104

LCM(688,936,637) = 3944304

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 25/688, 967/936, 536/637

1. What is the HCF of 25,967,536?

The HCF of 25,967,536 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 25/688, 967/936, 536/637?

Answer: GCF of Numerators as per given numbers 25/688, 967/936, 536/637 is

GCF of Numerators i.e. for 25,967,536 is 1

LCM of denominators i.e. for 688,936,637 is 3944304.

Thus, GCF of Fractions is 1/3944304.Finally, GCF of Fractions for 25/688, 967/936, 536/637 is 1/3944304.