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GCF of 275/744, 704/661

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 275/744, 704/661 i.e 11/491784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 275/744, 704/661.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 275/744,704/661?

Given fractions are 275/744,704/661

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 275/744,704/661, numerators are 275,704

Denominators are 744,661

The GCF of 275,704 is 11 .

LCM of 744,661 is 491784.

The greatest common factor of 275/744,704/661 = [GCF of 275,704]/[LCM of 744,661]= 11/491784

Therefore, the GCF of 275/744,704/661 is 11/491784.

Greatest Common Factor of 275,704

To find the highest common factor of 275,704, we have to find the factors of both numbers and list the highest common factor.

The factors of 275 are 1, 5, 11, 25, 55, 275

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

The HCF of 275,704 is 11.

Lets's calculate GCF of 275,704

Greatest Common Factor (GCF) of 275,704 By Common Division

11 275, 704
25, 64

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 275,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,704 By Matching Biggest Common Factor Method

Now, list down the factors of 275

:

1,5,11,25,55,275

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 275,704 . The biggest common factor number is the GCF number.
So the greatest common factor 275,704 is 11.

Lets's calculate LCM of 744,661

Lowest Common Multiple of 744,661 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 491784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/491784

Therefore, the GCF of Fractions 275/744,704/661 is 11/491784

Least Common Multiple of 744,661 with GCF Formula

Least Common Multiple of 744,661 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 744,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,661) = 1

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

GCF(744,661) x common factors =1 x 1 = 1

LCM(744,661) = ( 744 × 661 ) / 1

LCM(744,661) = 491784 / 1

LCM(744,661) = 491784


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FAQs on GCF of Fractions of 275/744, 704/661

1. What is the HCF of 275,704?

The HCF of 275,704 is 11

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 275/744, 704/661?

Answer: GCF of Numerators as per given numbers 275/744, 704/661 is

GCF of Numerators i.e. for 275,704 is 11

LCM of denominators i.e. for 744,661 is 491784.

Thus, GCF of Fractions is 11/491784.Finally, GCF of Fractions for 275/744, 704/661 is 11/491784.