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GCF of 906/850, 502/273

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 906/850, 502/273 i.e 2/232050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 906/850, 502/273.

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 906/850,502/273?

Given fractions are 906/850,502/273

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 906/850,502/273, numerators are 906,502

Denominators are 850,273

The GCF of 906,502 is 2 .

LCM of 850,273 is 232050.

The greatest common factor of 906/850,502/273 = [GCF of 906,502]/[LCM of 850,273]= 2/232050

Therefore, the GCF of 906/850,502/273 is 2/232050.

Greatest Common Factor of 906,502

To find the highest common factor of 906,502, we have to find the factors of both numbers and list the highest common factor.

The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906

The factors of 502 are 1, 2, 251, 502

The HCF of 906,502 is 2.

Lets's calculate GCF of 906,502

Greatest Common Factor (GCF) of 906,502 By Common Division

2 906, 502
453, 251

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

Greatest Common Factor of 906,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,502 By Matching Biggest Common Factor Method

Now, list down the factors of 906

:

1,2,3,6,151,302,453,906

Now, list down the factors of 502

:

1,2,251,502

Greatest Common Factor

We found the factors 906,502 . The biggest common factor number is the GCF number.
So the greatest common factor 906,502 is 2.

Lets's calculate LCM of 850,273

Lowest Common Multiple of 850,273 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 232050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/232050

Therefore, the GCF of Fractions 906/850,502/273 is 2/232050

Least Common Multiple of 850,273 with GCF Formula

Least Common Multiple of 850,273 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 850,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,273) = 1

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

GCF(850,273) x common factors =1 x 1 = 1

LCM(850,273) = ( 850 × 273 ) / 1

LCM(850,273) = 232050 / 1

LCM(850,273) = 232050


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FAQs on GCF of Fractions of 906/850, 502/273

1. What is the HCF of 906,502?

The HCF of 906,502 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 906/850, 502/273?

Answer: GCF of Numerators as per given numbers 906/850, 502/273 is

GCF of Numerators i.e. for 906,502 is 2

LCM of denominators i.e. for 850,273 is 232050.

Thus, GCF of Fractions is 2/232050.Finally, GCF of Fractions for 906/850, 502/273 is 2/232050.