GCF of 9970/377, 7414/6558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9970/377, 7414/6558 i.e 2/2472366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9970/377, 7414/6558.
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 9970/377,7414/6558?
Given fractions are 9970/377,7414/6558
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 9970/377,7414/6558, numerators are 9970,7414
Denominators are 377,6558
The GCF of 9970,7414 is 2 .
LCM of 377,6558 is 2472366.
The greatest common factor of 9970/377,7414/6558 = [GCF of 9970,7414]/[LCM of 377,6558]= 2/2472366
Therefore, the GCF of 9970/377,7414/6558 is 2/2472366.
To find the highest common factor of 9970,7414, we have to find the factors of both numbers and list the highest common factor.
The factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970
The factors of 7414 are 1, 2, 11, 22, 337, 674, 3707, 7414
The HCF of 9970,7414 is 2.
Lets's calculate GCF of 9970,7414
| 2 | 9970, 7414 |
| 4985, 3707 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9970,7414 By Matching Biggest Common Factor Method
Now, list down the factors of 9970
:1,2,5,10,997,1994,4985,9970
Now, list down the factors of 7414
:1,2,11,22,337,674,3707,7414
Greatest Common Factor
We found the factors 9970,7414 . The biggest common factor number is the GCF number.
So the greatest common factor 9970,7414 is 2.
Lets's calculate LCM of 377,6558
Given numbers has no common factors except 1. So, there LCM is their product i.e 2472366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2472366
Therefore, the GCF of Fractions 9970/377,7414/6558 is 2/2472366
Least Common Multiple of 377,6558 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 377,6558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,6558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,6558) x common factors =1 x 1 = 1
LCM(377,6558) = ( 377 × 6558 ) / 1
LCM(377,6558) = 2472366 / 1
LCM(377,6558) = 2472366
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FAQs on GCF of Fractions of 9970/377, 7414/6558
1. What is the HCF of 9970,7414?
The HCF of 9970,7414 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 9970/377, 7414/6558?
Answer: GCF of Numerators as per given numbers 9970/377, 7414/6558 is
GCF of Numerators i.e. for 9970,7414 is 2
LCM of denominators i.e. for 377,6558 is 2472366.
Thus, GCF of Fractions is 2/2472366.Finally, GCF of Fractions for 9970/377, 7414/6558 is 2/2472366.