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GCF of 834/370, 815/458

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 834/370, 815/458 i.e 1/84730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 834/370, 815/458.

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 834/370,815/458?

Given fractions are 834/370,815/458

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 834/370,815/458, numerators are 834,815

Denominators are 370,458

The GCF of 834,815 is 1 .

LCM of 370,458 is 84730.

The greatest common factor of 834/370,815/458 = [GCF of 834,815]/[LCM of 370,458]= 1/84730

Therefore, the GCF of 834/370,815/458 is 1/84730.

Greatest Common Factor of 834,815

To find the highest common factor of 834,815, 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 815 are 1, 5, 163, 815

The HCF of 834,815 is 1.

Lets's calculate GCF of 834,815

Greatest Common Factor (GCF) of 834,815 By Common Division

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

Greatest Common Factor of 834,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,815 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 815

:

1,5,163,815

Greatest Common Factor

We found the factors 834,815 . The biggest common factor number is the GCF number.
So the greatest common factor 834,815 is 1.

Lets's calculate LCM of 370,458

Lowest Common Multiple of 370,458 using Common Division

2 370, 458
185, 229

∴ So the LCM of the given numbers is 2 x 185 x 229 = 84730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84730

Therefore, the GCF of Fractions 834/370,815/458 is 1/84730

Least Common Multiple of 370,458 with GCF Formula

Least Common Multiple of 370,458 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 370,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,458) = 2

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

GCF(370,458) x common factors =2 x 1 = 2

LCM(370,458) = ( 370 × 458 ) / 2

LCM(370,458) = 169460 / 2

LCM(370,458) = 84730


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FAQs on GCF of Fractions of 834/370, 815/458

1. What is the HCF of 834,815?

The HCF of 834,815 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 834/370, 815/458?

Answer: GCF of Numerators as per given numbers 834/370, 815/458 is

GCF of Numerators i.e. for 834,815 is 1

LCM of denominators i.e. for 370,458 is 84730.

Thus, GCF of Fractions is 1/84730.Finally, GCF of Fractions for 834/370, 815/458 is 1/84730.