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GCF of 154/37, 532/734

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 154/37, 532/734 i.e 14/27158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 154/37, 532/734.

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 154/37,532/734?

Given fractions are 154/37,532/734

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 154/37,532/734, numerators are 154,532

Denominators are 37,734

The GCF of 154,532 is 14 .

LCM of 37,734 is 27158.

The greatest common factor of 154/37,532/734 = [GCF of 154,532]/[LCM of 37,734]= 14/27158

Therefore, the GCF of 154/37,532/734 is 14/27158.

Greatest Common Factor of 154,532

To find the highest common factor of 154,532, we have to find the factors of both numbers and list the highest common factor.

The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The HCF of 154,532 is 14.

Lets's calculate GCF of 154,532

Greatest Common Factor (GCF) of 154,532 By Common Division

2 154, 532
7 77, 266
11, 38

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 154,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,532 By Matching Biggest Common Factor Method

Now, list down the factors of 154

:

1,2,7,11,14,22,77,154

Now, list down the factors of 532

:

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 154,532 . The biggest common factor number is the GCF number.
So the greatest common factor 154,532 is 14.

Lets's calculate LCM of 37,734

Lowest Common Multiple of 37,734 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 27158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/27158

Therefore, the GCF of Fractions 154/37,532/734 is 14/27158

Least Common Multiple of 37,734 with GCF Formula

Least Common Multiple of 37,734 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 37,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,734) = 1

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

GCF(37,734) x common factors =1 x 1 = 1

LCM(37,734) = ( 37 × 734 ) / 1

LCM(37,734) = 27158 / 1

LCM(37,734) = 27158


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FAQs on GCF of Fractions of 154/37, 532/734

1. What is the HCF of 154,532?

The HCF of 154,532 is 14

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 154/37, 532/734?

Answer: GCF of Numerators as per given numbers 154/37, 532/734 is

GCF of Numerators i.e. for 154,532 is 14

LCM of denominators i.e. for 37,734 is 27158.

Thus, GCF of Fractions is 14/27158.Finally, GCF of Fractions for 154/37, 532/734 is 14/27158.