GCF of 2652/290, 6137/3240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2652/290, 6137/3240 i.e 17/93960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2652/290, 6137/3240.
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 2652/290,6137/3240?
Given fractions are 2652/290,6137/3240
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 2652/290,6137/3240, numerators are 2652,6137
Denominators are 290,3240
The GCF of 2652,6137 is 17 .
LCM of 290,3240 is 93960.
The greatest common factor of 2652/290,6137/3240 = [GCF of 2652,6137]/[LCM of 290,3240]= 17/93960
Therefore, the GCF of 2652/290,6137/3240 is 17/93960.
To find the highest common factor of 2652,6137, we have to find the factors of both numbers and list the highest common factor.
The factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652
The factors of 6137 are 1, 17, 19, 323, 361, 6137
The HCF of 2652,6137 is 17.
Lets's calculate GCF of 2652,6137
| 17 | 2652, 6137 |
| 156, 361 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 2652,6137 By Matching Biggest Common Factor Method
Now, list down the factors of 2652
:1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652
Now, list down the factors of 6137
:1,17,19,323,361,6137
Greatest Common Factor
We found the factors 2652,6137 . The biggest common factor number is the GCF number.
So the greatest common factor 2652,6137 is 17.
Lets's calculate LCM of 290,3240
| 2 | 290, 3240 |
| 5 | 145, 1620 |
| 29, 324 |
∴ So the LCM of the given numbers is 2 x 5 x 29 x 324 = 93960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/93960
Therefore, the GCF of Fractions 2652/290,6137/3240 is 17/93960
Least Common Multiple of 290,3240 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 290,3240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,3240) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(290,3240) x common factors =10 x 1 = 10
LCM(290,3240) = ( 290 × 3240 ) / 10
LCM(290,3240) = 939600 / 10
LCM(290,3240) = 93960
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FAQs on GCF of Fractions of 2652/290, 6137/3240
1. What is the HCF of 2652,6137?
The HCF of 2652,6137 is 17
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 2652/290, 6137/3240?
Answer: GCF of Numerators as per given numbers 2652/290, 6137/3240 is
GCF of Numerators i.e. for 2652,6137 is 17
LCM of denominators i.e. for 290,3240 is 93960.
Thus, GCF of Fractions is 17/93960.Finally, GCF of Fractions for 2652/290, 6137/3240 is 17/93960.