GCF of 9712/158, 7914/2202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9712/158, 7914/2202 i.e 2/173958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9712/158, 7914/2202.
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 9712/158,7914/2202?
Given fractions are 9712/158,7914/2202
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 9712/158,7914/2202, numerators are 9712,7914
Denominators are 158,2202
The GCF of 9712,7914 is 2 .
LCM of 158,2202 is 173958.
The greatest common factor of 9712/158,7914/2202 = [GCF of 9712,7914]/[LCM of 158,2202]= 2/173958
Therefore, the GCF of 9712/158,7914/2202 is 2/173958.
To find the highest common factor of 9712,7914, we have to find the factors of both numbers and list the highest common factor.
The factors of 9712 are 1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712
The factors of 7914 are 1, 2, 3, 6, 1319, 2638, 3957, 7914
The HCF of 9712,7914 is 2.
Lets's calculate GCF of 9712,7914
| 2 | 9712, 7914 |
| 4856, 3957 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9712,7914 By Matching Biggest Common Factor Method
Now, list down the factors of 9712
:1,2,4,8,16,607,1214,2428,4856,9712
Now, list down the factors of 7914
:1,2,3,6,1319,2638,3957,7914
Greatest Common Factor
We found the factors 9712,7914 . The biggest common factor number is the GCF number.
So the greatest common factor 9712,7914 is 2.
Lets's calculate LCM of 158,2202
| 2 | 158, 2202 |
| 79, 1101 |
∴ So the LCM of the given numbers is 2 x 79 x 1101 = 173958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/173958
Therefore, the GCF of Fractions 9712/158,7914/2202 is 2/173958
Least Common Multiple of 158,2202 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 158,2202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,2202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,2202) x common factors =2 x 1 = 2
LCM(158,2202) = ( 158 × 2202 ) / 2
LCM(158,2202) = 347916 / 2
LCM(158,2202) = 173958
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9712/158, 7914/2202
1. What is the HCF of 9712,7914?
The HCF of 9712,7914 is 2
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 9712/158, 7914/2202?
Answer: GCF of Numerators as per given numbers 9712/158, 7914/2202 is
GCF of Numerators i.e. for 9712,7914 is 2
LCM of denominators i.e. for 158,2202 is 173958.
Thus, GCF of Fractions is 2/173958.Finally, GCF of Fractions for 9712/158, 7914/2202 is 2/173958.