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GCF of 647/10, 697/1074

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 647/10, 697/1074 i.e 1/5370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 647/10, 697/1074.

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 647/10,697/1074?

Given fractions are 647/10,697/1074

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 647/10,697/1074, numerators are 647,697

Denominators are 10,1074

The GCF of 647,697 is 1 .

LCM of 10,1074 is 5370.

The greatest common factor of 647/10,697/1074 = [GCF of 647,697]/[LCM of 10,1074]= 1/5370

Therefore, the GCF of 647/10,697/1074 is 1/5370.

Greatest Common Factor of 647,697

To find the highest common factor of 647,697, we have to find the factors of both numbers and list the highest common factor.

The factors of 647 are 1, 647

The factors of 697 are 1, 17, 41, 697

The HCF of 647,697 is 1.

Lets's calculate GCF of 647,697

Greatest Common Factor (GCF) of 647,697 By Common Division

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

Greatest Common Factor of 647,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,697 By Matching Biggest Common Factor Method

Now, list down the factors of 647

:

1,647

Now, list down the factors of 697

:

1,17,41,697

Greatest Common Factor

We found the factors 647,697 . The biggest common factor number is the GCF number.
So the greatest common factor 647,697 is 1.

Lets's calculate LCM of 10,1074

Lowest Common Multiple of 10,1074 using Common Division

2 10, 1074
5, 537

∴ So the LCM of the given numbers is 2 x 5 x 537 = 5370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5370

Therefore, the GCF of Fractions 647/10,697/1074 is 1/5370

Least Common Multiple of 10,1074 with GCF Formula

Least Common Multiple of 10,1074 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 10,1074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,1074) = 2

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

GCF(10,1074) x common factors =2 x 1 = 2

LCM(10,1074) = ( 10 × 1074 ) / 2

LCM(10,1074) = 10740 / 2

LCM(10,1074) = 5370


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FAQs on GCF of Fractions of 647/10, 697/1074

1. What is the HCF of 647,697?

The HCF of 647,697 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 647/10, 697/1074?

Answer: GCF of Numerators as per given numbers 647/10, 697/1074 is

GCF of Numerators i.e. for 647,697 is 1

LCM of denominators i.e. for 10,1074 is 5370.

Thus, GCF of Fractions is 1/5370.Finally, GCF of Fractions for 647/10, 697/1074 is 1/5370.