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GCF of 133/236, 978/932

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 133/236, 978/932 i.e 1/54988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 133/236, 978/932.

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 133/236,978/932?

Given fractions are 133/236,978/932

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 133/236,978/932, numerators are 133,978

Denominators are 236,932

The GCF of 133,978 is 1 .

LCM of 236,932 is 54988.

The greatest common factor of 133/236,978/932 = [GCF of 133,978]/[LCM of 236,932]= 1/54988

Therefore, the GCF of 133/236,978/932 is 1/54988.

Greatest Common Factor of 133,978

To find the highest common factor of 133,978, we have to find the factors of both numbers and list the highest common factor.

The factors of 133 are 1, 7, 19, 133

The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978

The HCF of 133,978 is 1.

Lets's calculate GCF of 133,978

Greatest Common Factor (GCF) of 133,978 By Common Division

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

Greatest Common Factor of 133,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,978 By Matching Biggest Common Factor Method

Now, list down the factors of 133

:

1,7,19,133

Now, list down the factors of 978

:

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 133,978 . The biggest common factor number is the GCF number.
So the greatest common factor 133,978 is 1.

Lets's calculate LCM of 236,932

Lowest Common Multiple of 236,932 using Common Division

2 236, 932
2 118, 466
59, 233

∴ So the LCM of the given numbers is 2 x 2 x 59 x 233 = 54988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54988

Therefore, the GCF of Fractions 133/236,978/932 is 1/54988

Least Common Multiple of 236,932 with GCF Formula

Least Common Multiple of 236,932 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 236,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,932) = 4

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

GCF(236,932) x common factors =4 x 1 = 4

LCM(236,932) = ( 236 × 932 ) / 4

LCM(236,932) = 219952 / 4

LCM(236,932) = 54988


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FAQs on GCF of Fractions of 133/236, 978/932

1. What is the HCF of 133,978?

The HCF of 133,978 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 133/236, 978/932?

Answer: GCF of Numerators as per given numbers 133/236, 978/932 is

GCF of Numerators i.e. for 133,978 is 1

LCM of denominators i.e. for 236,932 is 54988.

Thus, GCF of Fractions is 1/54988.Finally, GCF of Fractions for 133/236, 978/932 is 1/54988.