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GCF of 834/56, 365/200

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 834/56, 365/200 i.e 1/1400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 834/56, 365/200.

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 834/56,365/200?

Given fractions are 834/56,365/200

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 834/56,365/200, numerators are 834,365

Denominators are 56,200

The GCF of 834,365 is 1 .

LCM of 56,200 is 1400.

The greatest common factor of 834/56,365/200 = [GCF of 834,365]/[LCM of 56,200]= 1/1400

Therefore, the GCF of 834/56,365/200 is 1/1400.

Greatest Common Factor of 834,365

To find the highest common factor of 834,365, we have to find the factors of both numbers and list the highest common factor.

The factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834

The factors of 365 are 1, 5, 73, 365

The HCF of 834,365 is 1.

Lets's calculate GCF of 834,365

Greatest Common Factor (GCF) of 834,365 By Common Division

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

Greatest Common Factor of 834,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,365 By Matching Biggest Common Factor Method

Now, list down the factors of 834

:

1,2,3,6,139,278,417,834

Now, list down the factors of 365

:

1,5,73,365

Greatest Common Factor

We found the factors 834,365 . The biggest common factor number is the GCF number.
So the greatest common factor 834,365 is 1.

Lets's calculate LCM of 56,200

Lowest Common Multiple of 56,200 using Common Division

2 56, 200
2 28, 100
2 14, 50
7, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 25 = 1400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1400

Therefore, the GCF of Fractions 834/56,365/200 is 1/1400

Least Common Multiple of 56,200 with GCF Formula

Least Common Multiple of 56,200 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 56,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,200) = 8

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

GCF(56,200) x common factors =8 x 1 = 8

LCM(56,200) = ( 56 × 200 ) / 8

LCM(56,200) = 11200 / 8

LCM(56,200) = 1400


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FAQs on GCF of Fractions of 834/56, 365/200

1. What is the HCF of 834,365?

The HCF of 834,365 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 834/56, 365/200?

Answer: GCF of Numerators as per given numbers 834/56, 365/200 is

GCF of Numerators i.e. for 834,365 is 1

LCM of denominators i.e. for 56,200 is 1400.

Thus, GCF of Fractions is 1/1400.Finally, GCF of Fractions for 834/56, 365/200 is 1/1400.