GCF of 9922/760, 9876/595
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9922/760, 9876/595 i.e 2/90440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9922/760, 9876/595.
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 9922/760,9876/595?
Given fractions are 9922/760,9876/595
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 9922/760,9876/595, numerators are 9922,9876
Denominators are 760,595
The GCF of 9922,9876 is 2 .
LCM of 760,595 is 90440.
The greatest common factor of 9922/760,9876/595 = [GCF of 9922,9876]/[LCM of 760,595]= 2/90440
Therefore, the GCF of 9922/760,9876/595 is 2/90440.
To find the highest common factor of 9922,9876, we have to find the factors of both numbers and list the highest common factor.
The factors of 9922 are 1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922
The factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876
The HCF of 9922,9876 is 2.
Lets's calculate GCF of 9922,9876
| 2 | 9922, 9876 |
| 4961, 4938 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9922,9876 By Matching Biggest Common Factor Method
Now, list down the factors of 9922
:1,2,11,22,41,82,121,242,451,902,4961,9922
Now, list down the factors of 9876
:1,2,3,4,6,12,823,1646,2469,3292,4938,9876
Greatest Common Factor
We found the factors 9922,9876 . The biggest common factor number is the GCF number.
So the greatest common factor 9922,9876 is 2.
Lets's calculate LCM of 760,595
| 5 | 760, 595 |
| 152, 119 |
∴ So the LCM of the given numbers is 5 x 152 x 119 = 90440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/90440
Therefore, the GCF of Fractions 9922/760,9876/595 is 2/90440
Least Common Multiple of 760,595 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 760,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,595) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(760,595) x common factors =5 x 1 = 5
LCM(760,595) = ( 760 × 595 ) / 5
LCM(760,595) = 452200 / 5
LCM(760,595) = 90440
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FAQs on GCF of Fractions of 9922/760, 9876/595
1. What is the HCF of 9922,9876?
The HCF of 9922,9876 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 9922/760, 9876/595?
Answer: GCF of Numerators as per given numbers 9922/760, 9876/595 is
GCF of Numerators i.e. for 9922,9876 is 2
LCM of denominators i.e. for 760,595 is 90440.
Thus, GCF of Fractions is 2/90440.Finally, GCF of Fractions for 9922/760, 9876/595 is 2/90440.