GCF of 962/220, 992/314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 962/220, 992/314 i.e 2/34540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/220, 992/314.
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 962/220,992/314?
Given fractions are 962/220,992/314
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 962/220,992/314, numerators are 962,992
Denominators are 220,314
The GCF of 962,992 is 2 .
LCM of 220,314 is 34540.
The greatest common factor of 962/220,992/314 = [GCF of 962,992]/[LCM of 220,314]= 2/34540
Therefore, the GCF of 962/220,992/314 is 2/34540.
To find the highest common factor of 962,992, we have to find the factors of both numbers and list the highest common factor.
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The HCF of 962,992 is 2.
Lets's calculate GCF of 962,992
| 2 | 962, 992 |
| 481, 496 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 962,992 By Matching Biggest Common Factor Method
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Now, list down the factors of 992
:1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 962,992 . The biggest common factor number is the GCF number.
So the greatest common factor 962,992 is 2.
Lets's calculate LCM of 220,314
| 2 | 220, 314 |
| 110, 157 |
∴ So the LCM of the given numbers is 2 x 110 x 157 = 34540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34540
Therefore, the GCF of Fractions 962/220,992/314 is 2/34540
Least Common Multiple of 220,314 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 220,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(220,314) x common factors =2 x 1 = 2
LCM(220,314) = ( 220 × 314 ) / 2
LCM(220,314) = 69080 / 2
LCM(220,314) = 34540
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FAQs on GCF of Fractions of 962/220, 992/314
1. What is the HCF of 962,992?
The HCF of 962,992 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 962/220, 992/314?
Answer: GCF of Numerators as per given numbers 962/220, 992/314 is
GCF of Numerators i.e. for 962,992 is 2
LCM of denominators i.e. for 220,314 is 34540.
Thus, GCF of Fractions is 2/34540.Finally, GCF of Fractions for 962/220, 992/314 is 2/34540.