GCF of 7129/716, 9739/546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7129/716, 9739/546 i.e 1/195468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7129/716, 9739/546.
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 7129/716,9739/546?
Given fractions are 7129/716,9739/546
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 7129/716,9739/546, numerators are 7129,9739
Denominators are 716,546
The GCF of 7129,9739 is 1 .
LCM of 716,546 is 195468.
The greatest common factor of 7129/716,9739/546 = [GCF of 7129,9739]/[LCM of 716,546]= 1/195468
Therefore, the GCF of 7129/716,9739/546 is 1/195468.
To find the highest common factor of 7129,9739, we have to find the factors of both numbers and list the highest common factor.
The factors of 7129 are 1, 7129
The factors of 9739 are 1, 9739
The HCF of 7129,9739 is 1.
Lets's calculate GCF of 7129,9739
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7129,9739 By Matching Biggest Common Factor Method
Now, list down the factors of 7129
:1,7129
Now, list down the factors of 9739
:1,9739
Greatest Common Factor
We found the factors 7129,9739 . The biggest common factor number is the GCF number.
So the greatest common factor 7129,9739 is 1.
Lets's calculate LCM of 716,546
| 2 | 716, 546 |
| 358, 273 |
∴ So the LCM of the given numbers is 2 x 358 x 273 = 195468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195468
Therefore, the GCF of Fractions 7129/716,9739/546 is 1/195468
Least Common Multiple of 716,546 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 716,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(716,546) x common factors =2 x 1 = 2
LCM(716,546) = ( 716 × 546 ) / 2
LCM(716,546) = 390936 / 2
LCM(716,546) = 195468
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FAQs on GCF of Fractions of 7129/716, 9739/546
1. What is the HCF of 7129,9739?
The HCF of 7129,9739 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 7129/716, 9739/546?
Answer: GCF of Numerators as per given numbers 7129/716, 9739/546 is
GCF of Numerators i.e. for 7129,9739 is 1
LCM of denominators i.e. for 716,546 is 195468.
Thus, GCF of Fractions is 1/195468.Finally, GCF of Fractions for 7129/716, 9739/546 is 1/195468.