How to Find GCF of 136/490, 672/963?

GCF of 136/490, 672/963

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 136/490, 672/963 i.e 8/471870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 136/490, 672/963.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 136/490,672/963?

Given fractions are 136/490,672/963

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 136/490,672/963, numerators are 136,672

Denominators are 490,963

The GCF of 136,672 is 8 .

LCM of 490,963 is 471870.

The greatest common factor of 136/490,672/963 = [GCF of 136,672]/[LCM of 490,963]= 8/471870

Therefore, the GCF of 136/490,672/963 is 8/471870.

Greatest Common Factor of 136,672

To find the highest common factor of 136,672, we have to find the factors of both numbers and list the highest common factor.

The factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136

The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

The HCF of 136,672 is 8.

Lets's calculate GCF of 136,672

Greatest Common Factor (GCF) of 136,672 By Common Division

2	136, 672
2	68, 336
2	34, 168
	17, 84

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 136,672 By Matching Biggest Common Factor Method

Now, list down the factors of 136

1,2,4,8,17,34,68,136

Now, list down the factors of 672

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 136,672 . The biggest common factor number is the GCF number.
So the greatest common factor 136,672 is 8.

Lets's calculate LCM of 490,963

Lowest Common Multiple of 490,963 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 471870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/471870

Therefore, the GCF of Fractions 136/490,672/963 is 8/471870

Least Common Multiple of 490,963 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 490,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,963) = 1

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

GCF(490,963) x common factors =1 x 1 = 1

LCM(490,963) = ( 490 × 963 ) / 1

LCM(490,963) = 471870 / 1

LCM(490,963) = 471870

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FAQs on GCF of Fractions of 136/490, 672/963

1. What is the HCF of 136,672?

The HCF of 136,672 is 8

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 136/490, 672/963?

Answer: GCF of Numerators as per given numbers 136/490, 672/963 is

GCF of Numerators i.e. for 136,672 is 8

LCM of denominators i.e. for 490,963 is 471870.

Thus, GCF of Fractions is 8/471870.Finally, GCF of Fractions for 136/490, 672/963 is 8/471870.