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GCF of 862/200, 733/765

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 862/200, 733/765 i.e 1/30600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/200, 733/765.

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 862/200,733/765?

Given fractions are 862/200,733/765

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 862/200,733/765, numerators are 862,733

Denominators are 200,765

The GCF of 862,733 is 1 .

LCM of 200,765 is 30600.

The greatest common factor of 862/200,733/765 = [GCF of 862,733]/[LCM of 200,765]= 1/30600

Therefore, the GCF of 862/200,733/765 is 1/30600.

Greatest Common Factor of 862,733

To find the highest common factor of 862,733, we have to find the factors of both numbers and list the highest common factor.

The factors of 862 are 1, 2, 431, 862

The factors of 733 are 1, 733

The HCF of 862,733 is 1.

Lets's calculate GCF of 862,733

Greatest Common Factor (GCF) of 862,733 By Common Division

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

Greatest Common Factor of 862,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,733 By Matching Biggest Common Factor Method

Now, list down the factors of 862

:

1,2,431,862

Now, list down the factors of 733

:

1,733

Greatest Common Factor

We found the factors 862,733 . The biggest common factor number is the GCF number.
So the greatest common factor 862,733 is 1.

Lets's calculate LCM of 200,765

Lowest Common Multiple of 200,765 using Common Division

5 200, 765
40, 153

∴ So the LCM of the given numbers is 5 x 40 x 153 = 30600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30600

Therefore, the GCF of Fractions 862/200,733/765 is 1/30600

Least Common Multiple of 200,765 with GCF Formula

Least Common Multiple of 200,765 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 200,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,765) = 5

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

GCF(200,765) x common factors =5 x 1 = 5

LCM(200,765) = ( 200 × 765 ) / 5

LCM(200,765) = 153000 / 5

LCM(200,765) = 30600


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FAQs on GCF of Fractions of 862/200, 733/765

1. What is the HCF of 862,733?

The HCF of 862,733 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 862/200, 733/765?

Answer: GCF of Numerators as per given numbers 862/200, 733/765 is

GCF of Numerators i.e. for 862,733 is 1

LCM of denominators i.e. for 200,765 is 30600.

Thus, GCF of Fractions is 1/30600.Finally, GCF of Fractions for 862/200, 733/765 is 1/30600.