GCF of 7239/757, 8748/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7239/757, 8748/274 i.e 3/207418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7239/757, 8748/274.
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 7239/757,8748/274?
Given fractions are 7239/757,8748/274
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 7239/757,8748/274, numerators are 7239,8748
Denominators are 757,274
The GCF of 7239,8748 is 3 .
LCM of 757,274 is 207418.
The greatest common factor of 7239/757,8748/274 = [GCF of 7239,8748]/[LCM of 757,274]= 3/207418
Therefore, the GCF of 7239/757,8748/274 is 3/207418.
To find the highest common factor of 7239,8748, we have to find the factors of both numbers and list the highest common factor.
The factors of 7239 are 1, 3, 19, 57, 127, 381, 2413, 7239
The factors of 8748 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 8748
The HCF of 7239,8748 is 3.
Lets's calculate GCF of 7239,8748
| 3 | 7239, 8748 |
| 2413, 2916 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7239,8748 By Matching Biggest Common Factor Method
Now, list down the factors of 7239
:1,3,19,57,127,381,2413,7239
Now, list down the factors of 8748
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2187,2916,4374,8748
Greatest Common Factor
We found the factors 7239,8748 . The biggest common factor number is the GCF number.
So the greatest common factor 7239,8748 is 3.
Lets's calculate LCM of 757,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 207418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/207418
Therefore, the GCF of Fractions 7239/757,8748/274 is 3/207418
Least Common Multiple of 757,274 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 757,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,274) x common factors =1 x 1 = 1
LCM(757,274) = ( 757 × 274 ) / 1
LCM(757,274) = 207418 / 1
LCM(757,274) = 207418
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FAQs on GCF of Fractions of 7239/757, 8748/274
1. What is the HCF of 7239,8748?
The HCF of 7239,8748 is 3
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 7239/757, 8748/274?
Answer: GCF of Numerators as per given numbers 7239/757, 8748/274 is
GCF of Numerators i.e. for 7239,8748 is 3
LCM of denominators i.e. for 757,274 is 207418.
Thus, GCF of Fractions is 3/207418.Finally, GCF of Fractions for 7239/757, 8748/274 is 3/207418.