How to Find GCF of 25/87, 140/29, 667/674?

GCF of 25/87, 140/29, 667/674

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 25/87, 140/29, 667/674 i.e 1/58638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/87, 140/29, 667/674.

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 25/87,140/29,667/674?

Given fractions are 25/87,140/29,667/674

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 25/87,140/29,667/674, numerators are 25,140,667

Denominators are 87,29,674

The GCF of 25,140,667 is 1 .

LCM of 87,29,674 is 58638.

The greatest common factor of 25/87,140/29,667/674 = [GCF of 25,140,667]/[LCM of 87,29,674]= 1/58638

Therefore, the GCF of 25/87,140/29,667/674 is 1/58638.

Greatest Common Factor of 25,140,667

To find the highest common factor of 25,140,667, 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 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

The factors of 667 are 1, 23, 29, 667

The HCF of 25,140,667 is 1.

Lets's calculate GCF of 25,140,667

Greatest Common Factor (GCF) of 25,140,667 By Common Division

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

Greatest Common Factor of 25,140,667 By Matching Biggest Common Factor Method

Now, list down the factors of 25

1,5,25

Now, list down the factors of 140

1,2,4,5,7,10,14,20,28,35,70,140

Now, list down the factors of 667

1,23,29,667

Greatest Common Factor

We found the factors 25,140,667 . The biggest common factor number is the GCF number.
So the greatest common factor 25,140,667 is 1.

Lets's calculate LCM of 87,29,674

Lowest Common Multiple of 87,29,674 using Common Division

29	87, 29, 674
	3, 1, 674

∴ So the LCM of the given numbers is 29 x 3 x 1 x 674 = 58638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58638

Therefore, the GCF of Fractions 25/87,140/29,667/674 is 1/58638

Least Common Multiple of 87,29,674 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 87,29,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,29,674) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(87,29,674) x common factors =1 x 29 = 29

LCM(87,29,674) = ( 87 × 29 × 674 ) / 29

LCM(87,29,674) = 1700502 / 29

LCM(87,29,674) = 58638

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FAQs on GCF of Fractions of 25/87, 140/29, 667/674

1. What is the HCF of 25,140,667?

The HCF of 25,140,667 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 25/87, 140/29, 667/674?

Answer: GCF of Numerators as per given numbers 25/87, 140/29, 667/674 is

GCF of Numerators i.e. for 25,140,667 is 1

LCM of denominators i.e. for 87,29,674 is 58638.

Thus, GCF of Fractions is 1/58638.Finally, GCF of Fractions for 25/87, 140/29, 667/674 is 1/58638.