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GCF of 902/300, 310/247

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 902/300, 310/247 i.e 2/74100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/300, 310/247.

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 902/300,310/247?

Given fractions are 902/300,310/247

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 902/300,310/247, numerators are 902,310

Denominators are 300,247

The GCF of 902,310 is 2 .

LCM of 300,247 is 74100.

The greatest common factor of 902/300,310/247 = [GCF of 902,310]/[LCM of 300,247]= 2/74100

Therefore, the GCF of 902/300,310/247 is 2/74100.

Greatest Common Factor of 902,310

To find the highest common factor of 902,310, 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 310 are 1, 2, 5, 10, 31, 62, 155, 310

The HCF of 902,310 is 2.

Lets's calculate GCF of 902,310

Greatest Common Factor (GCF) of 902,310 By Common Division

2 902, 310
451, 155

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

Greatest Common Factor of 902,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,310 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 310

:

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 902,310 . The biggest common factor number is the GCF number.
So the greatest common factor 902,310 is 2.

Lets's calculate LCM of 300,247

Lowest Common Multiple of 300,247 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 74100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74100

Therefore, the GCF of Fractions 902/300,310/247 is 2/74100

Least Common Multiple of 300,247 with GCF Formula

Least Common Multiple of 300,247 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 300,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,247) = 1

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

GCF(300,247) x common factors =1 x 1 = 1

LCM(300,247) = ( 300 × 247 ) / 1

LCM(300,247) = 74100 / 1

LCM(300,247) = 74100


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FAQs on GCF of Fractions of 902/300, 310/247

1. What is the HCF of 902,310?

The HCF of 902,310 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 902/300, 310/247?

Answer: GCF of Numerators as per given numbers 902/300, 310/247 is

GCF of Numerators i.e. for 902,310 is 2

LCM of denominators i.e. for 300,247 is 74100.

Thus, GCF of Fractions is 2/74100.Finally, GCF of Fractions for 902/300, 310/247 is 2/74100.