GCF of 7956/139, 5151/981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7956/139, 5151/981 i.e 51/136359 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7956/139, 5151/981.
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 7956/139,5151/981?
Given fractions are 7956/139,5151/981
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 7956/139,5151/981, numerators are 7956,5151
Denominators are 139,981
The GCF of 7956,5151 is 51 .
LCM of 139,981 is 136359.
The greatest common factor of 7956/139,5151/981 = [GCF of 7956,5151]/[LCM of 139,981]= 51/136359
Therefore, the GCF of 7956/139,5151/981 is 51/136359.
To find the highest common factor of 7956,5151, we have to find the factors of both numbers and list the highest common factor.
The factors of 7956 are 1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956
The factors of 5151 are 1, 3, 17, 51, 101, 303, 1717, 5151
The HCF of 7956,5151 is 51.
Lets's calculate GCF of 7956,5151
| 3 | 7956, 5151 |
| 17 | 2652, 1717 |
| 156, 101 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Greatest Common Factor of 7956,5151 By Matching Biggest Common Factor Method
Now, list down the factors of 7956
:1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956
Now, list down the factors of 5151
:1,3,17,51,101,303,1717,5151
Greatest Common Factor
We found the factors 7956,5151 . The biggest common factor number is the GCF number.
So the greatest common factor 7956,5151 is 51.
Lets's calculate LCM of 139,981
Given numbers has no common factors except 1. So, there LCM is their product i.e 136359
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/136359
Therefore, the GCF of Fractions 7956/139,5151/981 is 51/136359
Least Common Multiple of 139,981 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 139,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,981) x common factors =1 x 1 = 1
LCM(139,981) = ( 139 × 981 ) / 1
LCM(139,981) = 136359 / 1
LCM(139,981) = 136359
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7956/139, 5151/981
1. What is the HCF of 7956,5151?
The HCF of 7956,5151 is 51
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 7956/139, 5151/981?
Answer: GCF of Numerators as per given numbers 7956/139, 5151/981 is
GCF of Numerators i.e. for 7956,5151 is 51
LCM of denominators i.e. for 139,981 is 136359.
Thus, GCF of Fractions is 51/136359.Finally, GCF of Fractions for 7956/139, 5151/981 is 51/136359.