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GCF of 902/60, 470/5219

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 902/60, 470/5219 i.e 2/313140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/60, 470/5219.

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 902/60,470/5219?

Given fractions are 902/60,470/5219

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 902/60,470/5219, numerators are 902,470

Denominators are 60,5219

The GCF of 902,470 is 2 .

LCM of 60,5219 is 313140.

The greatest common factor of 902/60,470/5219 = [GCF of 902,470]/[LCM of 60,5219]= 2/313140

Therefore, the GCF of 902/60,470/5219 is 2/313140.

Greatest Common Factor of 902,470

To find the highest common factor of 902,470, we have to find the factors of both numbers and list the highest common factor.

The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902

The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470

The HCF of 902,470 is 2.

Lets's calculate GCF of 902,470

Greatest Common Factor (GCF) of 902,470 By Common Division

2 902, 470
451, 235

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 902,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,470 By Matching Biggest Common Factor Method

Now, list down the factors of 902

:

1,2,11,22,41,82,451,902

Now, list down the factors of 470

:

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 902,470 . The biggest common factor number is the GCF number.
So the greatest common factor 902,470 is 2.

Lets's calculate LCM of 60,5219

Lowest Common Multiple of 60,5219 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 313140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/313140

Therefore, the GCF of Fractions 902/60,470/5219 is 2/313140

Least Common Multiple of 60,5219 with GCF Formula

Least Common Multiple of 60,5219 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 60,5219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,5219) = 1

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

GCF(60,5219) x common factors =1 x 1 = 1

LCM(60,5219) = ( 60 × 5219 ) / 1

LCM(60,5219) = 313140 / 1

LCM(60,5219) = 313140


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FAQs on GCF of Fractions of 902/60, 470/5219

1. What is the HCF of 902,470?

The HCF of 902,470 is 2

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 902/60, 470/5219?

Answer: GCF of Numerators as per given numbers 902/60, 470/5219 is

GCF of Numerators i.e. for 902,470 is 2

LCM of denominators i.e. for 60,5219 is 313140.

Thus, GCF of Fractions is 2/313140.Finally, GCF of Fractions for 902/60, 470/5219 is 2/313140.