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GCF of 8457/237, 1574/9600

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 8457/237, 1574/9600 i.e 1/758400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8457/237, 1574/9600.

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 8457/237,1574/9600?

Given fractions are 8457/237,1574/9600

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 8457/237,1574/9600, numerators are 8457,1574

Denominators are 237,9600

The GCF of 8457,1574 is 1 .

LCM of 237,9600 is 758400.

The greatest common factor of 8457/237,1574/9600 = [GCF of 8457,1574]/[LCM of 237,9600]= 1/758400

Therefore, the GCF of 8457/237,1574/9600 is 1/758400.

Greatest Common Factor of 8457,1574

To find the highest common factor of 8457,1574, we have to find the factors of both numbers and list the highest common factor.

The factors of 8457 are 1, 3, 2819, 8457

The factors of 1574 are 1, 2, 787, 1574

The HCF of 8457,1574 is 1.

Lets's calculate GCF of 8457,1574

Greatest Common Factor (GCF) of 8457,1574 By Common Division

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

Greatest Common Factor of 8457,1574 By Matching Biggest Common Factor Method

Greatest Common Factor of 8457,1574 By Matching Biggest Common Factor Method

Now, list down the factors of 8457

:

1,3,2819,8457

Now, list down the factors of 1574

:

1,2,787,1574

Greatest Common Factor

We found the factors 8457,1574 . The biggest common factor number is the GCF number.
So the greatest common factor 8457,1574 is 1.

Lets's calculate LCM of 237,9600

Lowest Common Multiple of 237,9600 using Common Division

3 237, 9600
79, 3200

∴ So the LCM of the given numbers is 3 x 79 x 3200 = 758400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/758400

Therefore, the GCF of Fractions 8457/237,1574/9600 is 1/758400

Least Common Multiple of 237,9600 with GCF Formula

Least Common Multiple of 237,9600 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 237,9600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,9600) = 3

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

GCF(237,9600) x common factors =3 x 1 = 3

LCM(237,9600) = ( 237 × 9600 ) / 3

LCM(237,9600) = 2275200 / 3

LCM(237,9600) = 758400


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FAQs on GCF of Fractions of 8457/237, 1574/9600

1. What is the HCF of 8457,1574?

The HCF of 8457,1574 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 8457/237, 1574/9600?

Answer: GCF of Numerators as per given numbers 8457/237, 1574/9600 is

GCF of Numerators i.e. for 8457,1574 is 1

LCM of denominators i.e. for 237,9600 is 758400.

Thus, GCF of Fractions is 1/758400.Finally, GCF of Fractions for 8457/237, 1574/9600 is 1/758400.