GCF of 5061/862, 9962/630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5061/862, 9962/630 i.e 1/271530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5061/862, 9962/630.
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 5061/862,9962/630?
Given fractions are 5061/862,9962/630
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 5061/862,9962/630, numerators are 5061,9962
Denominators are 862,630
The GCF of 5061,9962 is 1 .
LCM of 862,630 is 271530.
The greatest common factor of 5061/862,9962/630 = [GCF of 5061,9962]/[LCM of 862,630]= 1/271530
Therefore, the GCF of 5061/862,9962/630 is 1/271530.
To find the highest common factor of 5061,9962, we have to find the factors of both numbers and list the highest common factor.
The factors of 5061 are 1, 3, 7, 21, 241, 723, 1687, 5061
The factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962
The HCF of 5061,9962 is 1.
Lets's calculate GCF of 5061,9962
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5061,9962 By Matching Biggest Common Factor Method
Now, list down the factors of 5061
:1,3,7,21,241,723,1687,5061
Now, list down the factors of 9962
:1,2,17,34,293,586,4981,9962
Greatest Common Factor
We found the factors 5061,9962 . The biggest common factor number is the GCF number.
So the greatest common factor 5061,9962 is 1.
Lets's calculate LCM of 862,630
| 2 | 862, 630 |
| 431, 315 |
∴ So the LCM of the given numbers is 2 x 431 x 315 = 271530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271530
Therefore, the GCF of Fractions 5061/862,9962/630 is 1/271530
Least Common Multiple of 862,630 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 862,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,630) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,630) x common factors =2 x 1 = 2
LCM(862,630) = ( 862 × 630 ) / 2
LCM(862,630) = 543060 / 2
LCM(862,630) = 271530
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FAQs on GCF of Fractions of 5061/862, 9962/630
1. What is the HCF of 5061,9962?
The HCF of 5061,9962 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 5061/862, 9962/630?
Answer: GCF of Numerators as per given numbers 5061/862, 9962/630 is
GCF of Numerators i.e. for 5061,9962 is 1
LCM of denominators i.e. for 862,630 is 271530.
Thus, GCF of Fractions is 1/271530.Finally, GCF of Fractions for 5061/862, 9962/630 is 1/271530.