GCF of 9976/369, 6920/7991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9976/369, 6920/7991 i.e 8/2948679 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9976/369, 6920/7991.
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 9976/369,6920/7991?
Given fractions are 9976/369,6920/7991
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 9976/369,6920/7991, numerators are 9976,6920
Denominators are 369,7991
The GCF of 9976,6920 is 8 .
LCM of 369,7991 is 2948679.
The greatest common factor of 9976/369,6920/7991 = [GCF of 9976,6920]/[LCM of 369,7991]= 8/2948679
Therefore, the GCF of 9976/369,6920/7991 is 8/2948679.
To find the highest common factor of 9976,6920, we have to find the factors of both numbers and list the highest common factor.
The factors of 9976 are 1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976
The factors of 6920 are 1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920
The HCF of 9976,6920 is 8.
Lets's calculate GCF of 9976,6920
| 2 | 9976, 6920 |
| 2 | 4988, 3460 |
| 2 | 2494, 1730 |
| 1247, 865 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9976,6920 By Matching Biggest Common Factor Method
Now, list down the factors of 9976
:1,2,4,8,29,43,58,86,116,172,232,344,1247,2494,4988,9976
Now, list down the factors of 6920
:1,2,4,5,8,10,20,40,173,346,692,865,1384,1730,3460,6920
Greatest Common Factor
We found the factors 9976,6920 . The biggest common factor number is the GCF number.
So the greatest common factor 9976,6920 is 8.
Lets's calculate LCM of 369,7991
Given numbers has no common factors except 1. So, there LCM is their product i.e 2948679
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2948679
Therefore, the GCF of Fractions 9976/369,6920/7991 is 8/2948679
Least Common Multiple of 369,7991 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 369,7991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,7991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,7991) x common factors =1 x 1 = 1
LCM(369,7991) = ( 369 × 7991 ) / 1
LCM(369,7991) = 2948679 / 1
LCM(369,7991) = 2948679
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FAQs on GCF of Fractions of 9976/369, 6920/7991
1. What is the HCF of 9976,6920?
The HCF of 9976,6920 is 8
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 9976/369, 6920/7991?
Answer: GCF of Numerators as per given numbers 9976/369, 6920/7991 is
GCF of Numerators i.e. for 9976,6920 is 8
LCM of denominators i.e. for 369,7991 is 2948679.
Thus, GCF of Fractions is 8/2948679.Finally, GCF of Fractions for 9976/369, 6920/7991 is 8/2948679.