How to Find GCF of 966/152, 736/675?

GCF of 966/152, 736/675

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 966/152, 736/675 i.e 46/102600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 966/152, 736/675.

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 966/152,736/675?

Given fractions are 966/152,736/675

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 966/152,736/675, numerators are 966,736

Denominators are 152,675

The GCF of 966,736 is 46 .

LCM of 152,675 is 102600.

The greatest common factor of 966/152,736/675 = [GCF of 966,736]/[LCM of 152,675]= 46/102600

Therefore, the GCF of 966/152,736/675 is 46/102600.

Greatest Common Factor of 966,736

To find the highest common factor of 966,736, we have to find the factors of both numbers and list the highest common factor.

The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

The HCF of 966,736 is 46.

Lets's calculate GCF of 966,736

Greatest Common Factor (GCF) of 966,736 By Common Division

2	966, 736
23	483, 368
	21, 16

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 966,736 By Matching Biggest Common Factor Method

Now, list down the factors of 966

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Now, list down the factors of 736

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 966,736 . The biggest common factor number is the GCF number.
So the greatest common factor 966,736 is 46.

Lets's calculate LCM of 152,675

Lowest Common Multiple of 152,675 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 102600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/102600

Therefore, the GCF of Fractions 966/152,736/675 is 46/102600

Least Common Multiple of 152,675 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 152,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,675) = 1

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

GCF(152,675) x common factors =1 x 1 = 1

LCM(152,675) = ( 152 × 675 ) / 1

LCM(152,675) = 102600 / 1

LCM(152,675) = 102600

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FAQs on GCF of Fractions of 966/152, 736/675

1. What is the HCF of 966,736?

The HCF of 966,736 is 46

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 966/152, 736/675?

Answer: GCF of Numerators as per given numbers 966/152, 736/675 is

GCF of Numerators i.e. for 966,736 is 46

LCM of denominators i.e. for 152,675 is 102600.

Thus, GCF of Fractions is 46/102600.Finally, GCF of Fractions for 966/152, 736/675 is 46/102600.