How to Find GCF of 9743/878, 7249/8472?

GCF of 9743/878, 7249/8472

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 9743/878, 7249/8472 i.e 1/3719208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9743/878, 7249/8472.

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 9743/878,7249/8472?

Given fractions are 9743/878,7249/8472

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 9743/878,7249/8472, numerators are 9743,7249

Denominators are 878,8472

The GCF of 9743,7249 is 1 .

LCM of 878,8472 is 3719208.

The greatest common factor of 9743/878,7249/8472 = [GCF of 9743,7249]/[LCM of 878,8472]= 1/3719208

Therefore, the GCF of 9743/878,7249/8472 is 1/3719208.

Greatest Common Factor of 9743,7249

To find the highest common factor of 9743,7249, we have to find the factors of both numbers and list the highest common factor.

The factors of 9743 are 1, 9743

The factors of 7249 are 1, 11, 659, 7249

The HCF of 9743,7249 is 1.

Lets's calculate GCF of 9743,7249

Greatest Common Factor (GCF) of 9743,7249 By Common Division

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

Greatest Common Factor of 9743,7249 By Matching Biggest Common Factor Method

Now, list down the factors of 9743

1,9743

Now, list down the factors of 7249

1,11,659,7249

Greatest Common Factor

We found the factors 9743,7249 . The biggest common factor number is the GCF number.
So the greatest common factor 9743,7249 is 1.

Lets's calculate LCM of 878,8472

Lowest Common Multiple of 878,8472 using Common Division

2	878, 8472
	439, 4236

∴ So the LCM of the given numbers is 2 x 439 x 4236 = 3719208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3719208

Therefore, the GCF of Fractions 9743/878,7249/8472 is 1/3719208

Least Common Multiple of 878,8472 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 878,8472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,8472) = 2

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

GCF(878,8472) x common factors =2 x 1 = 2

LCM(878,8472) = ( 878 × 8472 ) / 2

LCM(878,8472) = 7438416 / 2

LCM(878,8472) = 3719208

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FAQs on GCF of Fractions of 9743/878, 7249/8472

1. What is the HCF of 9743,7249?

The HCF of 9743,7249 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 9743/878, 7249/8472?

Answer: GCF of Numerators as per given numbers 9743/878, 7249/8472 is

GCF of Numerators i.e. for 9743,7249 is 1

LCM of denominators i.e. for 878,8472 is 3719208.

Thus, GCF of Fractions is 1/3719208.Finally, GCF of Fractions for 9743/878, 7249/8472 is 1/3719208.