GCF of 7502/375, 8796/370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7502/375, 8796/370 i.e 2/27750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7502/375, 8796/370.
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 7502/375,8796/370?
Given fractions are 7502/375,8796/370
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 7502/375,8796/370, numerators are 7502,8796
Denominators are 375,370
The GCF of 7502,8796 is 2 .
LCM of 375,370 is 27750.
The greatest common factor of 7502/375,8796/370 = [GCF of 7502,8796]/[LCM of 375,370]= 2/27750
Therefore, the GCF of 7502/375,8796/370 is 2/27750.
To find the highest common factor of 7502,8796, we have to find the factors of both numbers and list the highest common factor.
The factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502
The factors of 8796 are 1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398, 8796
The HCF of 7502,8796 is 2.
Lets's calculate GCF of 7502,8796
| 2 | 7502, 8796 |
| 3751, 4398 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7502,8796 By Matching Biggest Common Factor Method
Now, list down the factors of 7502
:1,2,11,22,31,62,121,242,341,682,3751,7502
Now, list down the factors of 8796
:1,2,3,4,6,12,733,1466,2199,2932,4398,8796
Greatest Common Factor
We found the factors 7502,8796 . The biggest common factor number is the GCF number.
So the greatest common factor 7502,8796 is 2.
Lets's calculate LCM of 375,370
| 5 | 375, 370 |
| 75, 74 |
∴ So the LCM of the given numbers is 5 x 75 x 74 = 27750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27750
Therefore, the GCF of Fractions 7502/375,8796/370 is 2/27750
Least Common Multiple of 375,370 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 375,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,370) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(375,370) x common factors =5 x 1 = 5
LCM(375,370) = ( 375 × 370 ) / 5
LCM(375,370) = 138750 / 5
LCM(375,370) = 27750
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FAQs on GCF of Fractions of 7502/375, 8796/370
1. What is the HCF of 7502,8796?
The HCF of 7502,8796 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 7502/375, 8796/370?
Answer: GCF of Numerators as per given numbers 7502/375, 8796/370 is
GCF of Numerators i.e. for 7502,8796 is 2
LCM of denominators i.e. for 375,370 is 27750.
Thus, GCF of Fractions is 2/27750.Finally, GCF of Fractions for 7502/375, 8796/370 is 2/27750.