GCF of 7101/796, 8970/654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7101/796, 8970/654 i.e 3/260292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7101/796, 8970/654.
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 7101/796,8970/654?
Given fractions are 7101/796,8970/654
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 7101/796,8970/654, numerators are 7101,8970
Denominators are 796,654
The GCF of 7101,8970 is 3 .
LCM of 796,654 is 260292.
The greatest common factor of 7101/796,8970/654 = [GCF of 7101,8970]/[LCM of 796,654]= 3/260292
Therefore, the GCF of 7101/796,8970/654 is 3/260292.
To find the highest common factor of 7101,8970, we have to find the factors of both numbers and list the highest common factor.
The factors of 7101 are 1, 3, 9, 27, 263, 789, 2367, 7101
The factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970
The HCF of 7101,8970 is 3.
Lets's calculate GCF of 7101,8970
| 3 | 7101, 8970 |
| 2367, 2990 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7101,8970 By Matching Biggest Common Factor Method
Now, list down the factors of 7101
:1,3,9,27,263,789,2367,7101
Now, list down the factors of 8970
:1,2,3,5,6,10,13,15,23,26,30,39,46,65,69,78,115,130,138,195,230,299,345,390,598,690,897,1495,1794,2990,4485,8970
Greatest Common Factor
We found the factors 7101,8970 . The biggest common factor number is the GCF number.
So the greatest common factor 7101,8970 is 3.
Lets's calculate LCM of 796,654
| 2 | 796, 654 |
| 398, 327 |
∴ So the LCM of the given numbers is 2 x 398 x 327 = 260292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/260292
Therefore, the GCF of Fractions 7101/796,8970/654 is 3/260292
Least Common Multiple of 796,654 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 796,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(796,654) x common factors =2 x 1 = 2
LCM(796,654) = ( 796 × 654 ) / 2
LCM(796,654) = 520584 / 2
LCM(796,654) = 260292
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FAQs on GCF of Fractions of 7101/796, 8970/654
1. What is the HCF of 7101,8970?
The HCF of 7101,8970 is 3
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 7101/796, 8970/654?
Answer: GCF of Numerators as per given numbers 7101/796, 8970/654 is
GCF of Numerators i.e. for 7101,8970 is 3
LCM of denominators i.e. for 796,654 is 260292.
Thus, GCF of Fractions is 3/260292.Finally, GCF of Fractions for 7101/796, 8970/654 is 3/260292.