How to Find GCF of 632/74, 704/3981?

GCF of 632/74, 704/3981

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 632/74, 704/3981 i.e 8/294594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 632/74, 704/3981.

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 632/74,704/3981?

Given fractions are 632/74,704/3981

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 632/74,704/3981, numerators are 632,704

Denominators are 74,3981

The GCF of 632,704 is 8 .

LCM of 74,3981 is 294594.

The greatest common factor of 632/74,704/3981 = [GCF of 632,704]/[LCM of 74,3981]= 8/294594

Therefore, the GCF of 632/74,704/3981 is 8/294594.

Greatest Common Factor of 632,704

To find the highest common factor of 632,704, we have to find the factors of both numbers and list the highest common factor.

The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632

The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

The HCF of 632,704 is 8.

Lets's calculate GCF of 632,704

Greatest Common Factor (GCF) of 632,704 By Common Division

2	632, 704
2	316, 352
2	158, 176
	79, 88

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 632,704 By Matching Biggest Common Factor Method

Now, list down the factors of 632

1,2,4,8,79,158,316,632

Now, list down the factors of 704

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 632,704 . The biggest common factor number is the GCF number.
So the greatest common factor 632,704 is 8.

Lets's calculate LCM of 74,3981

Lowest Common Multiple of 74,3981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 294594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/294594

Therefore, the GCF of Fractions 632/74,704/3981 is 8/294594

Least Common Multiple of 74,3981 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 74,3981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,3981) = 1

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

GCF(74,3981) x common factors =1 x 1 = 1

LCM(74,3981) = ( 74 × 3981 ) / 1

LCM(74,3981) = 294594 / 1

LCM(74,3981) = 294594

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FAQs on GCF of Fractions of 632/74, 704/3981

1. What is the HCF of 632,704?

The HCF of 632,704 is 8

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 632/74, 704/3981?

Answer: GCF of Numerators as per given numbers 632/74, 704/3981 is

GCF of Numerators i.e. for 632,704 is 8

LCM of denominators i.e. for 74,3981 is 294594.

Thus, GCF of Fractions is 8/294594.Finally, GCF of Fractions for 632/74, 704/3981 is 8/294594.