How to Find GCF of 9652/766, 3749/9213?

GCF of 9652/766, 3749/9213

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 9652/766, 3749/9213 i.e 1/7057158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9652/766, 3749/9213.

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 9652/766,3749/9213?

Given fractions are 9652/766,3749/9213

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 9652/766,3749/9213, numerators are 9652,3749

Denominators are 766,9213

The GCF of 9652,3749 is 1 .

LCM of 766,9213 is 7057158.

The greatest common factor of 9652/766,3749/9213 = [GCF of 9652,3749]/[LCM of 766,9213]= 1/7057158

Therefore, the GCF of 9652/766,3749/9213 is 1/7057158.

Greatest Common Factor of 9652,3749

To find the highest common factor of 9652,3749, we have to find the factors of both numbers and list the highest common factor.

The factors of 9652 are 1, 2, 4, 19, 38, 76, 127, 254, 508, 2413, 4826, 9652

The factors of 3749 are 1, 23, 163, 3749

The HCF of 9652,3749 is 1.

Lets's calculate GCF of 9652,3749

Greatest Common Factor (GCF) of 9652,3749 By Common Division

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

Greatest Common Factor of 9652,3749 By Matching Biggest Common Factor Method

Now, list down the factors of 9652

1,2,4,19,38,76,127,254,508,2413,4826,9652

Now, list down the factors of 3749

1,23,163,3749

Greatest Common Factor

We found the factors 9652,3749 . The biggest common factor number is the GCF number.
So the greatest common factor 9652,3749 is 1.

Lets's calculate LCM of 766,9213

Lowest Common Multiple of 766,9213 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7057158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7057158

Therefore, the GCF of Fractions 9652/766,3749/9213 is 1/7057158

Least Common Multiple of 766,9213 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 766,9213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,9213) = 1

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

GCF(766,9213) x common factors =1 x 1 = 1

LCM(766,9213) = ( 766 × 9213 ) / 1

LCM(766,9213) = 7057158 / 1

LCM(766,9213) = 7057158

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9652/766, 3749/9213

1. What is the HCF of 9652,3749?

The HCF of 9652,3749 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 9652/766, 3749/9213?

Answer: GCF of Numerators as per given numbers 9652/766, 3749/9213 is

GCF of Numerators i.e. for 9652,3749 is 1

LCM of denominators i.e. for 766,9213 is 7057158.

Thus, GCF of Fractions is 1/7057158.Finally, GCF of Fractions for 9652/766, 3749/9213 is 1/7057158.