How to Find GCF of 2572/200, 8357/3734?

GCF of 2572/200, 8357/3734

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 2572/200, 8357/3734 i.e 1/373400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2572/200, 8357/3734.

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 2572/200,8357/3734?

Given fractions are 2572/200,8357/3734

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 2572/200,8357/3734, numerators are 2572,8357

Denominators are 200,3734

The GCF of 2572,8357 is 1 .

LCM of 200,3734 is 373400.

The greatest common factor of 2572/200,8357/3734 = [GCF of 2572,8357]/[LCM of 200,3734]= 1/373400

Therefore, the GCF of 2572/200,8357/3734 is 1/373400.

Greatest Common Factor of 2572,8357

To find the highest common factor of 2572,8357, we have to find the factors of both numbers and list the highest common factor.

The factors of 2572 are 1, 2, 4, 643, 1286, 2572

The factors of 8357 are 1, 61, 137, 8357

The HCF of 2572,8357 is 1.

Lets's calculate GCF of 2572,8357

Greatest Common Factor (GCF) of 2572,8357 By Common Division

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

Greatest Common Factor of 2572,8357 By Matching Biggest Common Factor Method

Now, list down the factors of 2572

1,2,4,643,1286,2572

Now, list down the factors of 8357

1,61,137,8357

Greatest Common Factor

We found the factors 2572,8357 . The biggest common factor number is the GCF number.
So the greatest common factor 2572,8357 is 1.

Lets's calculate LCM of 200,3734

Lowest Common Multiple of 200,3734 using Common Division

2	200, 3734
	100, 1867

∴ So the LCM of the given numbers is 2 x 100 x 1867 = 373400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373400

Therefore, the GCF of Fractions 2572/200,8357/3734 is 1/373400

Least Common Multiple of 200,3734 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 200,3734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,3734) = 2

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

GCF(200,3734) x common factors =2 x 1 = 2

LCM(200,3734) = ( 200 × 3734 ) / 2

LCM(200,3734) = 746800 / 2

LCM(200,3734) = 373400

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FAQs on GCF of Fractions of 2572/200, 8357/3734

1. What is the HCF of 2572,8357?

The HCF of 2572,8357 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 2572/200, 8357/3734?

Answer: GCF of Numerators as per given numbers 2572/200, 8357/3734 is

GCF of Numerators i.e. for 2572,8357 is 1

LCM of denominators i.e. for 200,3734 is 373400.

Thus, GCF of Fractions is 1/373400.Finally, GCF of Fractions for 2572/200, 8357/3734 is 1/373400.