GCF of 6252/240, 5038/7616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6252/240, 5038/7616 i.e 2/114240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6252/240, 5038/7616.
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 6252/240,5038/7616?
Given fractions are 6252/240,5038/7616
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 6252/240,5038/7616, numerators are 6252,5038
Denominators are 240,7616
The GCF of 6252,5038 is 2 .
LCM of 240,7616 is 114240.
The greatest common factor of 6252/240,5038/7616 = [GCF of 6252,5038]/[LCM of 240,7616]= 2/114240
Therefore, the GCF of 6252/240,5038/7616 is 2/114240.
To find the highest common factor of 6252,5038, we have to find the factors of both numbers and list the highest common factor.
The factors of 6252 are 1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252
The factors of 5038 are 1, 2, 11, 22, 229, 458, 2519, 5038
The HCF of 6252,5038 is 2.
Lets's calculate GCF of 6252,5038
| 2 | 6252, 5038 |
| 3126, 2519 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6252,5038 By Matching Biggest Common Factor Method
Now, list down the factors of 6252
:1,2,3,4,6,12,521,1042,1563,2084,3126,6252
Now, list down the factors of 5038
:1,2,11,22,229,458,2519,5038
Greatest Common Factor
We found the factors 6252,5038 . The biggest common factor number is the GCF number.
So the greatest common factor 6252,5038 is 2.
Lets's calculate LCM of 240,7616
| 2 | 240, 7616 |
| 2 | 120, 3808 |
| 2 | 60, 1904 |
| 2 | 30, 952 |
| 15, 476 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 15 x 476 = 114240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114240
Therefore, the GCF of Fractions 6252/240,5038/7616 is 2/114240
Least Common Multiple of 240,7616 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 240,7616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,7616) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(240,7616) x common factors =16 x 1 = 16
LCM(240,7616) = ( 240 × 7616 ) / 16
LCM(240,7616) = 1827840 / 16
LCM(240,7616) = 114240
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FAQs on GCF of Fractions of 6252/240, 5038/7616
1. What is the HCF of 6252,5038?
The HCF of 6252,5038 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 6252/240, 5038/7616?
Answer: GCF of Numerators as per given numbers 6252/240, 5038/7616 is
GCF of Numerators i.e. for 6252,5038 is 2
LCM of denominators i.e. for 240,7616 is 114240.
Thus, GCF of Fractions is 2/114240.Finally, GCF of Fractions for 6252/240, 5038/7616 is 2/114240.