GCF of 6965/995, 7028/5302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6965/995, 7028/5302 i.e 7/5275490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6965/995, 7028/5302.
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 6965/995,7028/5302?
Given fractions are 6965/995,7028/5302
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 6965/995,7028/5302, numerators are 6965,7028
Denominators are 995,5302
The GCF of 6965,7028 is 7 .
LCM of 995,5302 is 5275490.
The greatest common factor of 6965/995,7028/5302 = [GCF of 6965,7028]/[LCM of 995,5302]= 7/5275490
Therefore, the GCF of 6965/995,7028/5302 is 7/5275490.
To find the highest common factor of 6965,7028, we have to find the factors of both numbers and list the highest common factor.
The factors of 6965 are 1, 5, 7, 35, 199, 995, 1393, 6965
The factors of 7028 are 1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028
The HCF of 6965,7028 is 7.
Lets's calculate GCF of 6965,7028
| 7 | 6965, 7028 |
| 995, 1004 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6965,7028 By Matching Biggest Common Factor Method
Now, list down the factors of 6965
:1,5,7,35,199,995,1393,6965
Now, list down the factors of 7028
:1,2,4,7,14,28,251,502,1004,1757,3514,7028
Greatest Common Factor
We found the factors 6965,7028 . The biggest common factor number is the GCF number.
So the greatest common factor 6965,7028 is 7.
Lets's calculate LCM of 995,5302
Given numbers has no common factors except 1. So, there LCM is their product i.e 5275490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5275490
Therefore, the GCF of Fractions 6965/995,7028/5302 is 7/5275490
Least Common Multiple of 995,5302 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 995,5302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,5302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,5302) x common factors =1 x 1 = 1
LCM(995,5302) = ( 995 × 5302 ) / 1
LCM(995,5302) = 5275490 / 1
LCM(995,5302) = 5275490
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6965/995, 7028/5302
1. What is the HCF of 6965,7028?
The HCF of 6965,7028 is 7
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 6965/995, 7028/5302?
Answer: GCF of Numerators as per given numbers 6965/995, 7028/5302 is
GCF of Numerators i.e. for 6965,7028 is 7
LCM of denominators i.e. for 995,5302 is 5275490.
Thus, GCF of Fractions is 7/5275490.Finally, GCF of Fractions for 6965/995, 7028/5302 is 7/5275490.