GCF of 7095/940, 3916/6280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7095/940, 3916/6280 i.e 11/295160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7095/940, 3916/6280.
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 7095/940,3916/6280?
Given fractions are 7095/940,3916/6280
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 7095/940,3916/6280, numerators are 7095,3916
Denominators are 940,6280
The GCF of 7095,3916 is 11 .
LCM of 940,6280 is 295160.
The greatest common factor of 7095/940,3916/6280 = [GCF of 7095,3916]/[LCM of 940,6280]= 11/295160
Therefore, the GCF of 7095/940,3916/6280 is 11/295160.
To find the highest common factor of 7095,3916, we have to find the factors of both numbers and list the highest common factor.
The factors of 7095 are 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095
The factors of 3916 are 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916
The HCF of 7095,3916 is 11.
Lets's calculate GCF of 7095,3916
| 11 | 7095, 3916 |
| 645, 356 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7095,3916 By Matching Biggest Common Factor Method
Now, list down the factors of 7095
:1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095
Now, list down the factors of 3916
:1,2,4,11,22,44,89,178,356,979,1958,3916
Greatest Common Factor
We found the factors 7095,3916 . The biggest common factor number is the GCF number.
So the greatest common factor 7095,3916 is 11.
Lets's calculate LCM of 940,6280
| 2 | 940, 6280 |
| 2 | 470, 3140 |
| 5 | 235, 1570 |
| 47, 314 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 47 x 314 = 295160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/295160
Therefore, the GCF of Fractions 7095/940,3916/6280 is 11/295160
Least Common Multiple of 940,6280 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 940,6280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,6280) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(940,6280) x common factors =20 x 1 = 20
LCM(940,6280) = ( 940 × 6280 ) / 20
LCM(940,6280) = 5903200 / 20
LCM(940,6280) = 295160
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FAQs on GCF of Fractions of 7095/940, 3916/6280
1. What is the HCF of 7095,3916?
The HCF of 7095,3916 is 11
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 7095/940, 3916/6280?
Answer: GCF of Numerators as per given numbers 7095/940, 3916/6280 is
GCF of Numerators i.e. for 7095,3916 is 11
LCM of denominators i.e. for 940,6280 is 295160.
Thus, GCF of Fractions is 11/295160.Finally, GCF of Fractions for 7095/940, 3916/6280 is 11/295160.