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GCF of 624/310, 5076/519

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 624/310, 5076/519 i.e 12/160890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 624/310, 5076/519.

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 624/310,5076/519?

Given fractions are 624/310,5076/519

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 624/310,5076/519, numerators are 624,5076

Denominators are 310,519

The GCF of 624,5076 is 12 .

LCM of 310,519 is 160890.

The greatest common factor of 624/310,5076/519 = [GCF of 624,5076]/[LCM of 310,519]= 12/160890

Therefore, the GCF of 624/310,5076/519 is 12/160890.

Greatest Common Factor of 624,5076

To find the highest common factor of 624,5076, we have to find the factors of both numbers and list the highest common factor.

The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

The factors of 5076 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076

The HCF of 624,5076 is 12.

Lets's calculate GCF of 624,5076

Greatest Common Factor (GCF) of 624,5076 By Common Division

2 624, 5076
2 312, 2538
3 156, 1269
52, 423

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 624,5076 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,5076 By Matching Biggest Common Factor Method

Now, list down the factors of 624

:

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Now, list down the factors of 5076

:

1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076

Greatest Common Factor

We found the factors 624,5076 . The biggest common factor number is the GCF number.
So the greatest common factor 624,5076 is 12.


Lets's calculate LCM of 310,519

Lowest Common Multiple of 310,519 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 160890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/160890

Therefore, the GCF of Fractions 624/310,5076/519 is 12/160890

Least Common Multiple of 310,519 with GCF Formula

Least Common Multiple of 310,519 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 310,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,519) = 1

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

GCF(310,519) x common factors =1 x 1 = 1

LCM(310,519) = ( 310 × 519 ) / 1

LCM(310,519) = 160890 / 1

LCM(310,519) = 160890


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 624/310, 5076/519

1. What is the HCF of 624,5076?

The HCF of 624,5076 is 12

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 624/310, 5076/519?

Answer: GCF of Numerators as per given numbers 624/310, 5076/519 is

GCF of Numerators i.e. for 624,5076 is 12

LCM of denominators i.e. for 310,519 is 160890.

Thus, GCF of Fractions is 12/160890.Finally, GCF of Fractions for 624/310, 5076/519 is 12/160890.