GCF of 6700/743, 7115/965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6700/743, 7115/965 i.e 5/716995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6700/743, 7115/965.
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 6700/743,7115/965?
Given fractions are 6700/743,7115/965
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 6700/743,7115/965, numerators are 6700,7115
Denominators are 743,965
The GCF of 6700,7115 is 5 .
LCM of 743,965 is 716995.
The greatest common factor of 6700/743,7115/965 = [GCF of 6700,7115]/[LCM of 743,965]= 5/716995
Therefore, the GCF of 6700/743,7115/965 is 5/716995.
To find the highest common factor of 6700,7115, we have to find the factors of both numbers and list the highest common factor.
The factors of 6700 are 1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 134, 268, 335, 670, 1340, 1675, 3350, 6700
The factors of 7115 are 1, 5, 1423, 7115
The HCF of 6700,7115 is 5.
Lets's calculate GCF of 6700,7115
| 5 | 6700, 7115 |
| 1340, 1423 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6700,7115 By Matching Biggest Common Factor Method
Now, list down the factors of 6700
:1,2,4,5,10,20,25,50,67,100,134,268,335,670,1340,1675,3350,6700
Now, list down the factors of 7115
:1,5,1423,7115
Greatest Common Factor
We found the factors 6700,7115 . The biggest common factor number is the GCF number.
So the greatest common factor 6700,7115 is 5.
Lets's calculate LCM of 743,965
Given numbers has no common factors except 1. So, there LCM is their product i.e 716995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/716995
Therefore, the GCF of Fractions 6700/743,7115/965 is 5/716995
Least Common Multiple of 743,965 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 743,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,965) x common factors =1 x 1 = 1
LCM(743,965) = ( 743 × 965 ) / 1
LCM(743,965) = 716995 / 1
LCM(743,965) = 716995
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FAQs on GCF of Fractions of 6700/743, 7115/965
1. What is the HCF of 6700,7115?
The HCF of 6700,7115 is 5
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 6700/743, 7115/965?
Answer: GCF of Numerators as per given numbers 6700/743, 7115/965 is
GCF of Numerators i.e. for 6700,7115 is 5
LCM of denominators i.e. for 743,965 is 716995.
Thus, GCF of Fractions is 5/716995.Finally, GCF of Fractions for 6700/743, 7115/965 is 5/716995.