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GCF of 156/760, 418/380

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 156/760, 418/380 i.e 2/760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/760, 418/380.

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 156/760,418/380?

Given fractions are 156/760,418/380

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 156/760,418/380, numerators are 156,418

Denominators are 760,380

The GCF of 156,418 is 2 .

LCM of 760,380 is 760.

The greatest common factor of 156/760,418/380 = [GCF of 156,418]/[LCM of 760,380]= 2/760

Therefore, the GCF of 156/760,418/380 is 2/760.

Greatest Common Factor of 156,418

To find the highest common factor of 156,418, we have to find the factors of both numbers and list the highest common factor.

The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418

The HCF of 156,418 is 2.

Lets's calculate GCF of 156,418

Greatest Common Factor (GCF) of 156,418 By Common Division

2 156, 418
78, 209

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

Greatest Common Factor of 156,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,418 By Matching Biggest Common Factor Method

Now, list down the factors of 156

:

1,2,3,4,6,12,13,26,39,52,78,156

Now, list down the factors of 418

:

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 156,418 . The biggest common factor number is the GCF number.
So the greatest common factor 156,418 is 2.

Lets's calculate LCM of 760,380

Lowest Common Multiple of 760,380 using Common Division

2 760, 380
2 380, 190
5 95, 190
19 19, 38
1, 2

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 1 x 2 = 760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/760

Therefore, the GCF of Fractions 156/760,418/380 is 2/760

Least Common Multiple of 760,380 with GCF Formula

Least Common Multiple of 760,380 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 760,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,380) = 380

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

GCF(760,380) x common factors =380 x 1 = 380

LCM(760,380) = ( 760 × 380 ) / 380

LCM(760,380) = 288800 / 380

LCM(760,380) = 760


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 156/760, 418/380

1. What is the HCF of 156,418?

The HCF of 156,418 is 2

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 156/760, 418/380?

Answer: GCF of Numerators as per given numbers 156/760, 418/380 is

GCF of Numerators i.e. for 156,418 is 2

LCM of denominators i.e. for 760,380 is 760.

Thus, GCF of Fractions is 2/760.Finally, GCF of Fractions for 156/760, 418/380 is 2/760.