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GCF of 885/47, 370/6741

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 885/47, 370/6741 i.e 5/316827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 885/47, 370/6741.

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 885/47,370/6741?

Given fractions are 885/47,370/6741

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 885/47,370/6741, numerators are 885,370

Denominators are 47,6741

The GCF of 885,370 is 5 .

LCM of 47,6741 is 316827.

The greatest common factor of 885/47,370/6741 = [GCF of 885,370]/[LCM of 47,6741]= 5/316827

Therefore, the GCF of 885/47,370/6741 is 5/316827.

Greatest Common Factor of 885,370

To find the highest common factor of 885,370, we have to find the factors of both numbers and list the highest common factor.

The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885

The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370

The HCF of 885,370 is 5.

Lets's calculate GCF of 885,370

Greatest Common Factor (GCF) of 885,370 By Common Division

5 885, 370
177, 74

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 885,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,370 By Matching Biggest Common Factor Method

Now, list down the factors of 885

:

1,3,5,15,59,177,295,885

Now, list down the factors of 370

:

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 885,370 . The biggest common factor number is the GCF number.
So the greatest common factor 885,370 is 5.

Lets's calculate LCM of 47,6741

Lowest Common Multiple of 47,6741 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 316827

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/316827

Therefore, the GCF of Fractions 885/47,370/6741 is 5/316827

Least Common Multiple of 47,6741 with GCF Formula

Least Common Multiple of 47,6741 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 47,6741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,6741) = 1

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

GCF(47,6741) x common factors =1 x 1 = 1

LCM(47,6741) = ( 47 × 6741 ) / 1

LCM(47,6741) = 316827 / 1

LCM(47,6741) = 316827


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 885/47, 370/6741

1. What is the HCF of 885,370?

The HCF of 885,370 is 5

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 885/47, 370/6741?

Answer: GCF of Numerators as per given numbers 885/47, 370/6741 is

GCF of Numerators i.e. for 885,370 is 5

LCM of denominators i.e. for 47,6741 is 316827.

Thus, GCF of Fractions is 5/316827.Finally, GCF of Fractions for 885/47, 370/6741 is 5/316827.