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GCF of 976/353, 148/389

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 976/353, 148/389 i.e 4/137317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/353, 148/389.

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 976/353,148/389?

Given fractions are 976/353,148/389

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 976/353,148/389, numerators are 976,148

Denominators are 353,389

The GCF of 976,148 is 4 .

LCM of 353,389 is 137317.

The greatest common factor of 976/353,148/389 = [GCF of 976,148]/[LCM of 353,389]= 4/137317

Therefore, the GCF of 976/353,148/389 is 4/137317.

Greatest Common Factor of 976,148

To find the highest common factor of 976,148, we have to find the factors of both numbers and list the highest common factor.

The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

The factors of 148 are 1, 2, 4, 37, 74, 148

The HCF of 976,148 is 4.

Lets's calculate GCF of 976,148

Greatest Common Factor (GCF) of 976,148 By Common Division

2 976, 148
2 488, 74
244, 37

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 976,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,148 By Matching Biggest Common Factor Method

Now, list down the factors of 976

:

1,2,4,8,16,61,122,244,488,976

Now, list down the factors of 148

:

1,2,4,37,74,148

Greatest Common Factor

We found the factors 976,148 . The biggest common factor number is the GCF number.
So the greatest common factor 976,148 is 4.

Lets's calculate LCM of 353,389

Lowest Common Multiple of 353,389 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 137317

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/137317

Therefore, the GCF of Fractions 976/353,148/389 is 4/137317

Least Common Multiple of 353,389 with GCF Formula

Least Common Multiple of 353,389 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 353,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,389) = 1

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

GCF(353,389) x common factors =1 x 1 = 1

LCM(353,389) = ( 353 × 389 ) / 1

LCM(353,389) = 137317 / 1

LCM(353,389) = 137317


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FAQs on GCF of Fractions of 976/353, 148/389

1. What is the HCF of 976,148?

The HCF of 976,148 is 4

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 976/353, 148/389?

Answer: GCF of Numerators as per given numbers 976/353, 148/389 is

GCF of Numerators i.e. for 976,148 is 4

LCM of denominators i.e. for 353,389 is 137317.

Thus, GCF of Fractions is 4/137317.Finally, GCF of Fractions for 976/353, 148/389 is 4/137317.