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GCF of 646/47, 947/913

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 646/47, 947/913 i.e 1/42911 easily. The following is the detailed procedure to determine the greatest common factor of fractions 646/47, 947/913.

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 646/47,947/913?

Given fractions are 646/47,947/913

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 646/47,947/913, numerators are 646,947

Denominators are 47,913

The GCF of 646,947 is 1 .

LCM of 47,913 is 42911.

The greatest common factor of 646/47,947/913 = [GCF of 646,947]/[LCM of 47,913]= 1/42911

Therefore, the GCF of 646/47,947/913 is 1/42911.

Greatest Common Factor of 646,947

To find the highest common factor of 646,947, we have to find the factors of both numbers and list the highest common factor.

The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646

The factors of 947 are 1, 947

The HCF of 646,947 is 1.

Lets's calculate GCF of 646,947

Greatest Common Factor (GCF) of 646,947 By Common Division

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

Greatest Common Factor of 646,947 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,947 By Matching Biggest Common Factor Method

Now, list down the factors of 646

:

1,2,17,19,34,38,323,646

Now, list down the factors of 947

:

1,947

Greatest Common Factor

We found the factors 646,947 . The biggest common factor number is the GCF number.
So the greatest common factor 646,947 is 1.

Lets's calculate LCM of 47,913

Lowest Common Multiple of 47,913 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 42911

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42911

Therefore, the GCF of Fractions 646/47,947/913 is 1/42911

Least Common Multiple of 47,913 with GCF Formula

Least Common Multiple of 47,913 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 47,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,913) = 1

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

GCF(47,913) x common factors =1 x 1 = 1

LCM(47,913) = ( 47 × 913 ) / 1

LCM(47,913) = 42911 / 1

LCM(47,913) = 42911


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FAQs on GCF of Fractions of 646/47, 947/913

1. What is the HCF of 646,947?

The HCF of 646,947 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 646/47, 947/913?

Answer: GCF of Numerators as per given numbers 646/47, 947/913 is

GCF of Numerators i.e. for 646,947 is 1

LCM of denominators i.e. for 47,913 is 42911.

Thus, GCF of Fractions is 1/42911.Finally, GCF of Fractions for 646/47, 947/913 is 1/42911.