GCF of 7516/338, 7236/5627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7516/338, 7236/5627 i.e 4/1901926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7516/338, 7236/5627.
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 7516/338,7236/5627?
Given fractions are 7516/338,7236/5627
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 7516/338,7236/5627, numerators are 7516,7236
Denominators are 338,5627
The GCF of 7516,7236 is 4 .
LCM of 338,5627 is 1901926.
The greatest common factor of 7516/338,7236/5627 = [GCF of 7516,7236]/[LCM of 338,5627]= 4/1901926
Therefore, the GCF of 7516/338,7236/5627 is 4/1901926.
To find the highest common factor of 7516,7236, we have to find the factors of both numbers and list the highest common factor.
The factors of 7516 are 1, 2, 4, 1879, 3758, 7516
The factors of 7236 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 67, 108, 134, 201, 268, 402, 603, 804, 1206, 1809, 2412, 3618, 7236
The HCF of 7516,7236 is 4.
Lets's calculate GCF of 7516,7236
| 2 | 7516, 7236 |
| 2 | 3758, 3618 |
| 1879, 1809 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7516,7236 By Matching Biggest Common Factor Method
Now, list down the factors of 7516
:1,2,4,1879,3758,7516
Now, list down the factors of 7236
:1,2,3,4,6,9,12,18,27,36,54,67,108,134,201,268,402,603,804,1206,1809,2412,3618,7236
Greatest Common Factor
We found the factors 7516,7236 . The biggest common factor number is the GCF number.
So the greatest common factor 7516,7236 is 4.
Lets's calculate LCM of 338,5627
Given numbers has no common factors except 1. So, there LCM is their product i.e 1901926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1901926
Therefore, the GCF of Fractions 7516/338,7236/5627 is 4/1901926
Least Common Multiple of 338,5627 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 338,5627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,5627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,5627) x common factors =1 x 1 = 1
LCM(338,5627) = ( 338 × 5627 ) / 1
LCM(338,5627) = 1901926 / 1
LCM(338,5627) = 1901926
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FAQs on GCF of Fractions of 7516/338, 7236/5627
1. What is the HCF of 7516,7236?
The HCF of 7516,7236 is 4
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 7516/338, 7236/5627?
Answer: GCF of Numerators as per given numbers 7516/338, 7236/5627 is
GCF of Numerators i.e. for 7516,7236 is 4
LCM of denominators i.e. for 338,5627 is 1901926.
Thus, GCF of Fractions is 4/1901926.Finally, GCF of Fractions for 7516/338, 7236/5627 is 4/1901926.