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GCF of 925/236, 794/200

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 925/236, 794/200 i.e 1/11800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 925/236, 794/200.

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 925/236,794/200?

Given fractions are 925/236,794/200

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 925/236,794/200, numerators are 925,794

Denominators are 236,200

The GCF of 925,794 is 1 .

LCM of 236,200 is 11800.

The greatest common factor of 925/236,794/200 = [GCF of 925,794]/[LCM of 236,200]= 1/11800

Therefore, the GCF of 925/236,794/200 is 1/11800.

Greatest Common Factor of 925,794

To find the highest common factor of 925,794, we have to find the factors of both numbers and list the highest common factor.

The factors of 925 are 1, 5, 25, 37, 185, 925

The factors of 794 are 1, 2, 397, 794

The HCF of 925,794 is 1.

Lets's calculate GCF of 925,794

Greatest Common Factor (GCF) of 925,794 By Common Division

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

Greatest Common Factor of 925,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 925,794 By Matching Biggest Common Factor Method

Now, list down the factors of 925

:

1,5,25,37,185,925

Now, list down the factors of 794

:

1,2,397,794

Greatest Common Factor

We found the factors 925,794 . The biggest common factor number is the GCF number.
So the greatest common factor 925,794 is 1.

Lets's calculate LCM of 236,200

Lowest Common Multiple of 236,200 using Common Division

2 236, 200
2 118, 100
59, 50

∴ So the LCM of the given numbers is 2 x 2 x 59 x 50 = 11800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11800

Therefore, the GCF of Fractions 925/236,794/200 is 1/11800

Least Common Multiple of 236,200 with GCF Formula

Least Common Multiple of 236,200 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 236,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,200) = 4

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

GCF(236,200) x common factors =4 x 1 = 4

LCM(236,200) = ( 236 × 200 ) / 4

LCM(236,200) = 47200 / 4

LCM(236,200) = 11800


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FAQs on GCF of Fractions of 925/236, 794/200

1. What is the HCF of 925,794?

The HCF of 925,794 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 925/236, 794/200?

Answer: GCF of Numerators as per given numbers 925/236, 794/200 is

GCF of Numerators i.e. for 925,794 is 1

LCM of denominators i.e. for 236,200 is 11800.

Thus, GCF of Fractions is 1/11800.Finally, GCF of Fractions for 925/236, 794/200 is 1/11800.