GCF of 4962/313, 4270/7965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4962/313, 4270/7965 i.e 2/2493045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4962/313, 4270/7965.
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 4962/313,4270/7965?
Given fractions are 4962/313,4270/7965
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 4962/313,4270/7965, numerators are 4962,4270
Denominators are 313,7965
The GCF of 4962,4270 is 2 .
LCM of 313,7965 is 2493045.
The greatest common factor of 4962/313,4270/7965 = [GCF of 4962,4270]/[LCM of 313,7965]= 2/2493045
Therefore, the GCF of 4962/313,4270/7965 is 2/2493045.
To find the highest common factor of 4962,4270, we have to find the factors of both numbers and list the highest common factor.
The factors of 4962 are 1, 2, 3, 6, 827, 1654, 2481, 4962
The factors of 4270 are 1, 2, 5, 7, 10, 14, 35, 61, 70, 122, 305, 427, 610, 854, 2135, 4270
The HCF of 4962,4270 is 2.
Lets's calculate GCF of 4962,4270
| 2 | 4962, 4270 |
| 2481, 2135 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4962,4270 By Matching Biggest Common Factor Method
Now, list down the factors of 4962
:1,2,3,6,827,1654,2481,4962
Now, list down the factors of 4270
:1,2,5,7,10,14,35,61,70,122,305,427,610,854,2135,4270
Greatest Common Factor
We found the factors 4962,4270 . The biggest common factor number is the GCF number.
So the greatest common factor 4962,4270 is 2.
Lets's calculate LCM of 313,7965
Given numbers has no common factors except 1. So, there LCM is their product i.e 2493045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2493045
Therefore, the GCF of Fractions 4962/313,4270/7965 is 2/2493045
Least Common Multiple of 313,7965 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 313,7965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,7965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,7965) x common factors =1 x 1 = 1
LCM(313,7965) = ( 313 × 7965 ) / 1
LCM(313,7965) = 2493045 / 1
LCM(313,7965) = 2493045
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FAQs on GCF of Fractions of 4962/313, 4270/7965
1. What is the HCF of 4962,4270?
The HCF of 4962,4270 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 4962/313, 4270/7965?
Answer: GCF of Numerators as per given numbers 4962/313, 4270/7965 is
GCF of Numerators i.e. for 4962,4270 is 2
LCM of denominators i.e. for 313,7965 is 2493045.
Thus, GCF of Fractions is 2/2493045.Finally, GCF of Fractions for 4962/313, 4270/7965 is 2/2493045.