How to Find GCF of 57/425, 87/856, 625/105?

GCF of 57/425, 87/856, 625/105

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 57/425, 87/856, 625/105 i.e 1/7639800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 57/425, 87/856, 625/105.

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 57/425,87/856,625/105?

Given fractions are 57/425,87/856,625/105

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 57/425,87/856,625/105, numerators are 57,87,625

Denominators are 425,856,105

The GCF of 57,87,625 is 1 .

LCM of 425,856,105 is 7639800.

The greatest common factor of 57/425,87/856,625/105 = [GCF of 57,87,625]/[LCM of 425,856,105]= 1/7639800

Therefore, the GCF of 57/425,87/856,625/105 is 1/7639800.

Greatest Common Factor of 57,87,625

To find the highest common factor of 57,87,625, we have to find the factors of both numbers and list the highest common factor.

The factors of 57 are 1, 3, 19, 57

The factors of 87 are 1, 3, 29, 87

The factors of 625 are 1, 5, 25, 125, 625

The HCF of 57,87,625 is 1.

Lets's calculate GCF of 57,87,625

Greatest Common Factor (GCF) of 57,87,625 By Common Division

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

Greatest Common Factor of 57,87,625 By Matching Biggest Common Factor Method

Now, list down the factors of 57

1,3,19,57

Now, list down the factors of 87

1,3,29,87

Now, list down the factors of 625

1,5,25,125,625

Greatest Common Factor

We found the factors 57,87,625 . The biggest common factor number is the GCF number.
So the greatest common factor 57,87,625 is 1.

Lets's calculate LCM of 425,856,105

Lowest Common Multiple of 425,856,105 using Common Division

5	425, 856, 105
	85, 856, 21

∴ So the LCM of the given numbers is 5 x 85 x 856 x 21 = 7639800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7639800

Therefore, the GCF of Fractions 57/425,87/856,625/105 is 1/7639800

Least Common Multiple of 425,856,105 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 425,856,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,856,105) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(425,856,105) x common factors =1 x 5 = 5

LCM(425,856,105) = ( 425 × 856 × 105 ) / 5

LCM(425,856,105) = 38199000 / 5

LCM(425,856,105) = 7639800

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 57/425, 87/856, 625/105

1. What is the HCF of 57,87,625?

The HCF of 57,87,625 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 57/425, 87/856, 625/105?

Answer: GCF of Numerators as per given numbers 57/425, 87/856, 625/105 is

GCF of Numerators i.e. for 57,87,625 is 1

LCM of denominators i.e. for 425,856,105 is 7639800.

Thus, GCF of Fractions is 1/7639800.Finally, GCF of Fractions for 57/425, 87/856, 625/105 is 1/7639800.