How to Find GCF of 79/953, 39/570, 691/467?

GCF of 79/953, 39/570, 691/467

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 79/953, 39/570, 691/467 i.e 1/253679070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/953, 39/570, 691/467.

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 79/953,39/570,691/467?

Given fractions are 79/953,39/570,691/467

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 79/953,39/570,691/467, numerators are 79,39,691

Denominators are 953,570,467

The GCF of 79,39,691 is 1 .

LCM of 953,570,467 is 253679070.

The greatest common factor of 79/953,39/570,691/467 = [GCF of 79,39,691]/[LCM of 953,570,467]= 1/253679070

Therefore, the GCF of 79/953,39/570,691/467 is 1/253679070.

Greatest Common Factor of 79,39,691

To find the highest common factor of 79,39,691, we have to find the factors of both numbers and list the highest common factor.

The factors of 79 are 1, 79

The factors of 39 are 1, 3, 13, 39

The factors of 691 are 1, 691

The HCF of 79,39,691 is 1.

Lets's calculate GCF of 79,39,691

Greatest Common Factor (GCF) of 79,39,691 By Common Division

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

Greatest Common Factor of 79,39,691 By Matching Biggest Common Factor Method

Now, list down the factors of 79

1,79

Now, list down the factors of 39

1,3,13,39

Now, list down the factors of 691

1,691

Greatest Common Factor

We found the factors 79,39,691 . The biggest common factor number is the GCF number.
So the greatest common factor 79,39,691 is 1.

Lets's calculate LCM of 953,570,467

Lowest Common Multiple of 953,570,467 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 253679070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253679070

Therefore, the GCF of Fractions 79/953,39/570,691/467 is 1/253679070

Least Common Multiple of 953,570,467 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 953,570,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,570,467) = 1

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

GCF(953,570,467) x common factors =1 x 1 = 1

LCM(953,570,467) = ( 953 × 570 × 467 ) / 1

LCM(953,570,467) = 253679070 / 1

LCM(953,570,467) = 253679070

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FAQs on GCF of Fractions of 79/953, 39/570, 691/467

1. What is the HCF of 79,39,691?

The HCF of 79,39,691 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 79/953, 39/570, 691/467?

Answer: GCF of Numerators as per given numbers 79/953, 39/570, 691/467 is

GCF of Numerators i.e. for 79,39,691 is 1

LCM of denominators i.e. for 953,570,467 is 253679070.

Thus, GCF of Fractions is 1/253679070.Finally, GCF of Fractions for 79/953, 39/570, 691/467 is 1/253679070.