GCF of 6959/614, 7971/3750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6959/614, 7971/3750 i.e 1/1151250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6959/614, 7971/3750.
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 6959/614,7971/3750?
Given fractions are 6959/614,7971/3750
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 6959/614,7971/3750, numerators are 6959,7971
Denominators are 614,3750
The GCF of 6959,7971 is 1 .
LCM of 614,3750 is 1151250.
The greatest common factor of 6959/614,7971/3750 = [GCF of 6959,7971]/[LCM of 614,3750]= 1/1151250
Therefore, the GCF of 6959/614,7971/3750 is 1/1151250.
To find the highest common factor of 6959,7971, we have to find the factors of both numbers and list the highest common factor.
The factors of 6959 are 1, 6959
The factors of 7971 are 1, 3, 2657, 7971
The HCF of 6959,7971 is 1.
Lets's calculate GCF of 6959,7971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6959,7971 By Matching Biggest Common Factor Method
Now, list down the factors of 6959
:1,6959
Now, list down the factors of 7971
:1,3,2657,7971
Greatest Common Factor
We found the factors 6959,7971 . The biggest common factor number is the GCF number.
So the greatest common factor 6959,7971 is 1.
Lets's calculate LCM of 614,3750
| 2 | 614, 3750 |
| 307, 1875 |
∴ So the LCM of the given numbers is 2 x 307 x 1875 = 1151250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1151250
Therefore, the GCF of Fractions 6959/614,7971/3750 is 1/1151250
Least Common Multiple of 614,3750 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 614,3750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,3750) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,3750) x common factors =2 x 1 = 2
LCM(614,3750) = ( 614 × 3750 ) / 2
LCM(614,3750) = 2302500 / 2
LCM(614,3750) = 1151250
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FAQs on GCF of Fractions of 6959/614, 7971/3750
1. What is the HCF of 6959,7971?
The HCF of 6959,7971 is 1
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 6959/614, 7971/3750?
Answer: GCF of Numerators as per given numbers 6959/614, 7971/3750 is
GCF of Numerators i.e. for 6959,7971 is 1
LCM of denominators i.e. for 614,3750 is 1151250.
Thus, GCF of Fractions is 1/1151250.Finally, GCF of Fractions for 6959/614, 7971/3750 is 1/1151250.