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GCF of 902/950, 762/489

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 902/950, 762/489 i.e 2/464550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/950, 762/489.

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 902/950,762/489?

Given fractions are 902/950,762/489

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 902/950,762/489, numerators are 902,762

Denominators are 950,489

The GCF of 902,762 is 2 .

LCM of 950,489 is 464550.

The greatest common factor of 902/950,762/489 = [GCF of 902,762]/[LCM of 950,489]= 2/464550

Therefore, the GCF of 902/950,762/489 is 2/464550.

Greatest Common Factor of 902,762

To find the highest common factor of 902,762, 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 762 are 1, 2, 3, 6, 127, 254, 381, 762

The HCF of 902,762 is 2.

Lets's calculate GCF of 902,762

Greatest Common Factor (GCF) of 902,762 By Common Division

2 902, 762
451, 381

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

Greatest Common Factor of 902,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,762 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 762

:

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 902,762 . The biggest common factor number is the GCF number.
So the greatest common factor 902,762 is 2.

Lets's calculate LCM of 950,489

Lowest Common Multiple of 950,489 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 464550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/464550

Therefore, the GCF of Fractions 902/950,762/489 is 2/464550

Least Common Multiple of 950,489 with GCF Formula

Least Common Multiple of 950,489 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 950,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,489) = 1

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

GCF(950,489) x common factors =1 x 1 = 1

LCM(950,489) = ( 950 × 489 ) / 1

LCM(950,489) = 464550 / 1

LCM(950,489) = 464550


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FAQs on GCF of Fractions of 902/950, 762/489

1. What is the HCF of 902,762?

The HCF of 902,762 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 902/950, 762/489?

Answer: GCF of Numerators as per given numbers 902/950, 762/489 is

GCF of Numerators i.e. for 902,762 is 2

LCM of denominators i.e. for 950,489 is 464550.

Thus, GCF of Fractions is 2/464550.Finally, GCF of Fractions for 902/950, 762/489 is 2/464550.