GCF of 7959/736, 9051/6520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7959/736, 9051/6520 i.e 21/599840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7959/736, 9051/6520.
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 7959/736,9051/6520?
Given fractions are 7959/736,9051/6520
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 7959/736,9051/6520, numerators are 7959,9051
Denominators are 736,6520
The GCF of 7959,9051 is 21 .
LCM of 736,6520 is 599840.
The greatest common factor of 7959/736,9051/6520 = [GCF of 7959,9051]/[LCM of 736,6520]= 21/599840
Therefore, the GCF of 7959/736,9051/6520 is 21/599840.
To find the highest common factor of 7959,9051, we have to find the factors of both numbers and list the highest common factor.
The factors of 7959 are 1, 3, 7, 21, 379, 1137, 2653, 7959
The factors of 9051 are 1, 3, 7, 21, 431, 1293, 3017, 9051
The HCF of 7959,9051 is 21.
Lets's calculate GCF of 7959,9051
| 3 | 7959, 9051 |
| 7 | 2653, 3017 |
| 379, 431 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 7959,9051 By Matching Biggest Common Factor Method
Now, list down the factors of 7959
:1,3,7,21,379,1137,2653,7959
Now, list down the factors of 9051
:1,3,7,21,431,1293,3017,9051
Greatest Common Factor
We found the factors 7959,9051 . The biggest common factor number is the GCF number.
So the greatest common factor 7959,9051 is 21.
Lets's calculate LCM of 736,6520
| 2 | 736, 6520 |
| 2 | 368, 3260 |
| 2 | 184, 1630 |
| 92, 815 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 92 x 815 = 599840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/599840
Therefore, the GCF of Fractions 7959/736,9051/6520 is 21/599840
Least Common Multiple of 736,6520 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 736,6520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,6520) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(736,6520) x common factors =8 x 1 = 8
LCM(736,6520) = ( 736 × 6520 ) / 8
LCM(736,6520) = 4798720 / 8
LCM(736,6520) = 599840
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FAQs on GCF of Fractions of 7959/736, 9051/6520
1. What is the HCF of 7959,9051?
The HCF of 7959,9051 is 21
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 7959/736, 9051/6520?
Answer: GCF of Numerators as per given numbers 7959/736, 9051/6520 is
GCF of Numerators i.e. for 7959,9051 is 21
LCM of denominators i.e. for 736,6520 is 599840.
Thus, GCF of Fractions is 21/599840.Finally, GCF of Fractions for 7959/736, 9051/6520 is 21/599840.