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GCF of 310/909, 590/846

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 310/909, 590/846 i.e 10/85446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 310/909, 590/846.

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 310/909,590/846?

Given fractions are 310/909,590/846

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 310/909,590/846, numerators are 310,590

Denominators are 909,846

The GCF of 310,590 is 10 .

LCM of 909,846 is 85446.

The greatest common factor of 310/909,590/846 = [GCF of 310,590]/[LCM of 909,846]= 10/85446

Therefore, the GCF of 310/909,590/846 is 10/85446.

Greatest Common Factor of 310,590

To find the highest common factor of 310,590, we have to find the factors of both numbers and list the highest common factor.

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310

The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590

The HCF of 310,590 is 10.

Lets's calculate GCF of 310,590

Greatest Common Factor (GCF) of 310,590 By Common Division

2 310, 590
5 155, 295
31, 59

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 310,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,590 By Matching Biggest Common Factor Method

Now, list down the factors of 310

:

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

Now, list down the factors of 590

:

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 310,590 . The biggest common factor number is the GCF number.
So the greatest common factor 310,590 is 10.

Lets's calculate LCM of 909,846

Lowest Common Multiple of 909,846 using Common Division

3 909, 846
3 303, 282
101, 94

∴ So the LCM of the given numbers is 3 x 3 x 101 x 94 = 85446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/85446

Therefore, the GCF of Fractions 310/909,590/846 is 10/85446

Least Common Multiple of 909,846 with GCF Formula

Least Common Multiple of 909,846 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 909,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,846) = 9

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

GCF(909,846) x common factors =9 x 1 = 9

LCM(909,846) = ( 909 × 846 ) / 9

LCM(909,846) = 769014 / 9

LCM(909,846) = 85446


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FAQs on GCF of Fractions of 310/909, 590/846

1. What is the HCF of 310,590?

The HCF of 310,590 is 10

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 310/909, 590/846?

Answer: GCF of Numerators as per given numbers 310/909, 590/846 is

GCF of Numerators i.e. for 310,590 is 10

LCM of denominators i.e. for 909,846 is 85446.

Thus, GCF of Fractions is 10/85446.Finally, GCF of Fractions for 310/909, 590/846 is 10/85446.