How to Find GCF of 9754/851, 1732/841?

GCF of 9754/851, 1732/841

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 9754/851, 1732/841 i.e 2/715691 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9754/851, 1732/841.

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 9754/851,1732/841?

Given fractions are 9754/851,1732/841

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 9754/851,1732/841, numerators are 9754,1732

Denominators are 851,841

The GCF of 9754,1732 is 2 .

LCM of 851,841 is 715691.

The greatest common factor of 9754/851,1732/841 = [GCF of 9754,1732]/[LCM of 851,841]= 2/715691

Therefore, the GCF of 9754/851,1732/841 is 2/715691.

Greatest Common Factor of 9754,1732

To find the highest common factor of 9754,1732, we have to find the factors of both numbers and list the highest common factor.

The factors of 9754 are 1, 2, 4877, 9754

The factors of 1732 are 1, 2, 4, 433, 866, 1732

The HCF of 9754,1732 is 2.

Lets's calculate GCF of 9754,1732

Greatest Common Factor (GCF) of 9754,1732 By Common Division

2	9754, 1732
	4877, 866

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

Greatest Common Factor of 9754,1732 By Matching Biggest Common Factor Method

Now, list down the factors of 9754

1,2,4877,9754

Now, list down the factors of 1732

1,2,4,433,866,1732

Greatest Common Factor

We found the factors 9754,1732 . The biggest common factor number is the GCF number.
So the greatest common factor 9754,1732 is 2.

Lets's calculate LCM of 851,841

Lowest Common Multiple of 851,841 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 715691

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/715691

Therefore, the GCF of Fractions 9754/851,1732/841 is 2/715691

Least Common Multiple of 851,841 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 851,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,841) = 1

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

GCF(851,841) x common factors =1 x 1 = 1

LCM(851,841) = ( 851 × 841 ) / 1

LCM(851,841) = 715691 / 1

LCM(851,841) = 715691

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9754/851, 1732/841

1. What is the HCF of 9754,1732?

The HCF of 9754,1732 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 9754/851, 1732/841?

Answer: GCF of Numerators as per given numbers 9754/851, 1732/841 is

GCF of Numerators i.e. for 9754,1732 is 2

LCM of denominators i.e. for 851,841 is 715691.

Thus, GCF of Fractions is 2/715691.Finally, GCF of Fractions for 9754/851, 1732/841 is 2/715691.