GCF of 5101/828, 9970/8682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5101/828, 9970/8682 i.e 1/1198116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5101/828, 9970/8682.
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 5101/828,9970/8682?
Given fractions are 5101/828,9970/8682
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 5101/828,9970/8682, numerators are 5101,9970
Denominators are 828,8682
The GCF of 5101,9970 is 1 .
LCM of 828,8682 is 1198116.
The greatest common factor of 5101/828,9970/8682 = [GCF of 5101,9970]/[LCM of 828,8682]= 1/1198116
Therefore, the GCF of 5101/828,9970/8682 is 1/1198116.
To find the highest common factor of 5101,9970, we have to find the factors of both numbers and list the highest common factor.
The factors of 5101 are 1, 5101
The factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970
The HCF of 5101,9970 is 1.
Lets's calculate GCF of 5101,9970
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5101,9970 By Matching Biggest Common Factor Method
Now, list down the factors of 5101
:1,5101
Now, list down the factors of 9970
:1,2,5,10,997,1994,4985,9970
Greatest Common Factor
We found the factors 5101,9970 . The biggest common factor number is the GCF number.
So the greatest common factor 5101,9970 is 1.
Lets's calculate LCM of 828,8682
| 2 | 828, 8682 |
| 3 | 414, 4341 |
| 138, 1447 |
∴ So the LCM of the given numbers is 2 x 3 x 138 x 1447 = 1198116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1198116
Therefore, the GCF of Fractions 5101/828,9970/8682 is 1/1198116
Least Common Multiple of 828,8682 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 828,8682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,8682) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(828,8682) x common factors =6 x 1 = 6
LCM(828,8682) = ( 828 × 8682 ) / 6
LCM(828,8682) = 7188696 / 6
LCM(828,8682) = 1198116
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FAQs on GCF of Fractions of 5101/828, 9970/8682
1. What is the HCF of 5101,9970?
The HCF of 5101,9970 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 5101/828, 9970/8682?
Answer: GCF of Numerators as per given numbers 5101/828, 9970/8682 is
GCF of Numerators i.e. for 5101,9970 is 1
LCM of denominators i.e. for 828,8682 is 1198116.
Thus, GCF of Fractions is 1/1198116.Finally, GCF of Fractions for 5101/828, 9970/8682 is 1/1198116.