How to Find GCF of 9329/375, 7417/6246?

GCF of 9329/375, 7417/6246

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 9329/375, 7417/6246 i.e 1/780750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9329/375, 7417/6246.

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 9329/375,7417/6246?

Given fractions are 9329/375,7417/6246

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 9329/375,7417/6246, numerators are 9329,7417

Denominators are 375,6246

The GCF of 9329,7417 is 1 .

LCM of 375,6246 is 780750.

The greatest common factor of 9329/375,7417/6246 = [GCF of 9329,7417]/[LCM of 375,6246]= 1/780750

Therefore, the GCF of 9329/375,7417/6246 is 1/780750.

Greatest Common Factor of 9329,7417

To find the highest common factor of 9329,7417, we have to find the factors of both numbers and list the highest common factor.

The factors of 9329 are 1, 19, 491, 9329

The factors of 7417 are 1, 7417

The HCF of 9329,7417 is 1.

Lets's calculate GCF of 9329,7417

Greatest Common Factor (GCF) of 9329,7417 By Common Division

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

Greatest Common Factor of 9329,7417 By Matching Biggest Common Factor Method

Now, list down the factors of 9329

1,19,491,9329

Now, list down the factors of 7417

1,7417

Greatest Common Factor

We found the factors 9329,7417 . The biggest common factor number is the GCF number.
So the greatest common factor 9329,7417 is 1.

Lets's calculate LCM of 375,6246

Lowest Common Multiple of 375,6246 using Common Division

3	375, 6246
	125, 2082

∴ So the LCM of the given numbers is 3 x 125 x 2082 = 780750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/780750

Therefore, the GCF of Fractions 9329/375,7417/6246 is 1/780750

Least Common Multiple of 375,6246 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 375,6246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,6246) = 3

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

GCF(375,6246) x common factors =3 x 1 = 3

LCM(375,6246) = ( 375 × 6246 ) / 3

LCM(375,6246) = 2342250 / 3

LCM(375,6246) = 780750

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FAQs on GCF of Fractions of 9329/375, 7417/6246

1. What is the HCF of 9329,7417?

The HCF of 9329,7417 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 9329/375, 7417/6246?

Answer: GCF of Numerators as per given numbers 9329/375, 7417/6246 is

GCF of Numerators i.e. for 9329,7417 is 1

LCM of denominators i.e. for 375,6246 is 780750.

Thus, GCF of Fractions is 1/780750.Finally, GCF of Fractions for 9329/375, 7417/6246 is 1/780750.