How to Find GCF of 9463/832, 4726/169?

GCF of 9463/832, 4726/169

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 9463/832, 4726/169 i.e 1/10816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9463/832, 4726/169.

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 9463/832,4726/169?

Given fractions are 9463/832,4726/169

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 9463/832,4726/169, numerators are 9463,4726

Denominators are 832,169

The GCF of 9463,4726 is 1 .

LCM of 832,169 is 10816.

The greatest common factor of 9463/832,4726/169 = [GCF of 9463,4726]/[LCM of 832,169]= 1/10816

Therefore, the GCF of 9463/832,4726/169 is 1/10816.

Greatest Common Factor of 9463,4726

To find the highest common factor of 9463,4726, we have to find the factors of both numbers and list the highest common factor.

The factors of 9463 are 1, 9463

The factors of 4726 are 1, 2, 17, 34, 139, 278, 2363, 4726

The HCF of 9463,4726 is 1.

Lets's calculate GCF of 9463,4726

Greatest Common Factor (GCF) of 9463,4726 By Common Division

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

Greatest Common Factor of 9463,4726 By Matching Biggest Common Factor Method

Now, list down the factors of 9463

1,9463

Now, list down the factors of 4726

1,2,17,34,139,278,2363,4726

Greatest Common Factor

We found the factors 9463,4726 . The biggest common factor number is the GCF number.
So the greatest common factor 9463,4726 is 1.

Lets's calculate LCM of 832,169

Lowest Common Multiple of 832,169 using Common Division

13	832, 169
	64, 13

∴ So the LCM of the given numbers is 13 x 64 x 13 = 10816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10816

Therefore, the GCF of Fractions 9463/832,4726/169 is 1/10816

Least Common Multiple of 832,169 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 832,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,169) = 13

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

GCF(832,169) x common factors =13 x 1 = 13

LCM(832,169) = ( 832 × 169 ) / 13

LCM(832,169) = 140608 / 13

LCM(832,169) = 10816

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FAQs on GCF of Fractions of 9463/832, 4726/169

1. What is the HCF of 9463,4726?

The HCF of 9463,4726 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 9463/832, 4726/169?

Answer: GCF of Numerators as per given numbers 9463/832, 4726/169 is

GCF of Numerators i.e. for 9463,4726 is 1

LCM of denominators i.e. for 832,169 is 10816.

Thus, GCF of Fractions is 1/10816.Finally, GCF of Fractions for 9463/832, 4726/169 is 1/10816.