How to Find GCF of 9347/544, 7577/892?

GCF of 9347/544, 7577/892

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 9347/544, 7577/892 i.e 1/121312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9347/544, 7577/892.

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 9347/544,7577/892?

Given fractions are 9347/544,7577/892

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 9347/544,7577/892, numerators are 9347,7577

Denominators are 544,892

The GCF of 9347,7577 is 1 .

LCM of 544,892 is 121312.

The greatest common factor of 9347/544,7577/892 = [GCF of 9347,7577]/[LCM of 544,892]= 1/121312

Therefore, the GCF of 9347/544,7577/892 is 1/121312.

Greatest Common Factor of 9347,7577

To find the highest common factor of 9347,7577, we have to find the factors of both numbers and list the highest common factor.

The factors of 9347 are 1, 13, 719, 9347

The factors of 7577 are 1, 7577

The HCF of 9347,7577 is 1.

Lets's calculate GCF of 9347,7577

Greatest Common Factor (GCF) of 9347,7577 By Common Division

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

Greatest Common Factor of 9347,7577 By Matching Biggest Common Factor Method

Now, list down the factors of 9347

1,13,719,9347

Now, list down the factors of 7577

1,7577

Greatest Common Factor

We found the factors 9347,7577 . The biggest common factor number is the GCF number.
So the greatest common factor 9347,7577 is 1.

Lets's calculate LCM of 544,892

Lowest Common Multiple of 544,892 using Common Division

2	544, 892
2	272, 446
	136, 223

∴ So the LCM of the given numbers is 2 x 2 x 136 x 223 = 121312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121312

Therefore, the GCF of Fractions 9347/544,7577/892 is 1/121312

Least Common Multiple of 544,892 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 544,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,892) = 4

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

GCF(544,892) x common factors =4 x 1 = 4

LCM(544,892) = ( 544 × 892 ) / 4

LCM(544,892) = 485248 / 4

LCM(544,892) = 121312

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FAQs on GCF of Fractions of 9347/544, 7577/892

1. What is the HCF of 9347,7577?

The HCF of 9347,7577 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 9347/544, 7577/892?

Answer: GCF of Numerators as per given numbers 9347/544, 7577/892 is

GCF of Numerators i.e. for 9347,7577 is 1

LCM of denominators i.e. for 544,892 is 121312.

Thus, GCF of Fractions is 1/121312.Finally, GCF of Fractions for 9347/544, 7577/892 is 1/121312.