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GCF of 847/148, 7943/172

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 847/148, 7943/172 i.e 1/6364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 847/148, 7943/172.

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 847/148,7943/172?

Given fractions are 847/148,7943/172

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 847/148,7943/172, numerators are 847,7943

Denominators are 148,172

The GCF of 847,7943 is 1 .

LCM of 148,172 is 6364.

The greatest common factor of 847/148,7943/172 = [GCF of 847,7943]/[LCM of 148,172]= 1/6364

Therefore, the GCF of 847/148,7943/172 is 1/6364.

Greatest Common Factor of 847,7943

To find the highest common factor of 847,7943, we have to find the factors of both numbers and list the highest common factor.

The factors of 847 are 1, 7, 11, 77, 121, 847

The factors of 7943 are 1, 13, 47, 169, 611, 7943

The HCF of 847,7943 is 1.

Lets's calculate GCF of 847,7943

Greatest Common Factor (GCF) of 847,7943 By Common Division

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

Greatest Common Factor of 847,7943 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,7943 By Matching Biggest Common Factor Method

Now, list down the factors of 847

:

1,7,11,77,121,847

Now, list down the factors of 7943

:

1,13,47,169,611,7943

Greatest Common Factor

We found the factors 847,7943 . The biggest common factor number is the GCF number.
So the greatest common factor 847,7943 is 1.

Lets's calculate LCM of 148,172

Lowest Common Multiple of 148,172 using Common Division

2 148, 172
2 74, 86
37, 43

∴ So the LCM of the given numbers is 2 x 2 x 37 x 43 = 6364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6364

Therefore, the GCF of Fractions 847/148,7943/172 is 1/6364

Least Common Multiple of 148,172 with GCF Formula

Least Common Multiple of 148,172 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 148,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,172) = 4

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

GCF(148,172) x common factors =4 x 1 = 4

LCM(148,172) = ( 148 × 172 ) / 4

LCM(148,172) = 25456 / 4

LCM(148,172) = 6364


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FAQs on GCF of Fractions of 847/148, 7943/172

1. What is the HCF of 847,7943?

The HCF of 847,7943 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 847/148, 7943/172?

Answer: GCF of Numerators as per given numbers 847/148, 7943/172 is

GCF of Numerators i.e. for 847,7943 is 1

LCM of denominators i.e. for 148,172 is 6364.

Thus, GCF of Fractions is 1/6364.Finally, GCF of Fractions for 847/148, 7943/172 is 1/6364.