GCF of 2999/138, 4628/710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2999/138, 4628/710 i.e 1/48990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2999/138, 4628/710.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2999/138,4628/710?
Given fractions are 2999/138,4628/710
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 2999/138,4628/710, numerators are 2999,4628
Denominators are 138,710
The GCF of 2999,4628 is 1 .
LCM of 138,710 is 48990.
The greatest common factor of 2999/138,4628/710 = [GCF of 2999,4628]/[LCM of 138,710]= 1/48990
Therefore, the GCF of 2999/138,4628/710 is 1/48990.
To find the highest common factor of 2999,4628, we have to find the factors of both numbers and list the highest common factor.
The factors of 2999 are 1, 2999
The factors of 4628 are 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628
The HCF of 2999,4628 is 1.
Lets's calculate GCF of 2999,4628
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2999,4628 By Matching Biggest Common Factor Method
Now, list down the factors of 2999
:1,2999
Now, list down the factors of 4628
:1,2,4,13,26,52,89,178,356,1157,2314,4628
Greatest Common Factor
We found the factors 2999,4628 . The biggest common factor number is the GCF number.
So the greatest common factor 2999,4628 is 1.
Lets's calculate LCM of 138,710
| 2 | 138, 710 |
| 69, 355 |
∴ So the LCM of the given numbers is 2 x 69 x 355 = 48990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48990
Therefore, the GCF of Fractions 2999/138,4628/710 is 1/48990
Least Common Multiple of 138,710 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 138,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,710) x common factors =2 x 1 = 2
LCM(138,710) = ( 138 × 710 ) / 2
LCM(138,710) = 97980 / 2
LCM(138,710) = 48990
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FAQs on GCF of Fractions of 2999/138, 4628/710
1. What is the HCF of 2999,4628?
The HCF of 2999,4628 is 1
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 2999/138, 4628/710?
Answer: GCF of Numerators as per given numbers 2999/138, 4628/710 is
GCF of Numerators i.e. for 2999,4628 is 1
LCM of denominators i.e. for 138,710 is 48990.
Thus, GCF of Fractions is 1/48990.Finally, GCF of Fractions for 2999/138, 4628/710 is 1/48990.