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GCF of 9409/421, 9257/9528

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 9409/421, 9257/9528 i.e 1/4011288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9409/421, 9257/9528.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9409/421,9257/9528?

Given fractions are 9409/421,9257/9528

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 9409/421,9257/9528, numerators are 9409,9257

Denominators are 421,9528

The GCF of 9409,9257 is 1 .

LCM of 421,9528 is 4011288.

The greatest common factor of 9409/421,9257/9528 = [GCF of 9409,9257]/[LCM of 421,9528]= 1/4011288

Therefore, the GCF of 9409/421,9257/9528 is 1/4011288.

Greatest Common Factor of 9409,9257

To find the highest common factor of 9409,9257, we have to find the factors of both numbers and list the highest common factor.

The factors of 9409 are 1, 97, 9409

The factors of 9257 are 1, 9257

The HCF of 9409,9257 is 1.

Lets's calculate GCF of 9409,9257

Greatest Common Factor (GCF) of 9409,9257 By Common Division

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

Greatest Common Factor of 9409,9257 By Matching Biggest Common Factor Method

Greatest Common Factor of 9409,9257 By Matching Biggest Common Factor Method

Now, list down the factors of 9409

:

1,97,9409

Now, list down the factors of 9257

:

1,9257

Greatest Common Factor

We found the factors 9409,9257 . The biggest common factor number is the GCF number.
So the greatest common factor 9409,9257 is 1.

Lets's calculate LCM of 421,9528

Lowest Common Multiple of 421,9528 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4011288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4011288

Therefore, the GCF of Fractions 9409/421,9257/9528 is 1/4011288

Least Common Multiple of 421,9528 with GCF Formula

Least Common Multiple of 421,9528 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 421,9528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,9528) = 1

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

GCF(421,9528) x common factors =1 x 1 = 1

LCM(421,9528) = ( 421 × 9528 ) / 1

LCM(421,9528) = 4011288 / 1

LCM(421,9528) = 4011288


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FAQs on GCF of Fractions of 9409/421, 9257/9528

1. What is the HCF of 9409,9257?

The HCF of 9409,9257 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 9409/421, 9257/9528?

Answer: GCF of Numerators as per given numbers 9409/421, 9257/9528 is

GCF of Numerators i.e. for 9409,9257 is 1

LCM of denominators i.e. for 421,9528 is 4011288.

Thus, GCF of Fractions is 1/4011288.Finally, GCF of Fractions for 9409/421, 9257/9528 is 1/4011288.