GCF of 962/28, 663/258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 962/28, 663/258 i.e 13/3612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/28, 663/258.
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 962/28,663/258?
Given fractions are 962/28,663/258
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 962/28,663/258, numerators are 962,663
Denominators are 28,258
The GCF of 962,663 is 13 .
LCM of 28,258 is 3612.
The greatest common factor of 962/28,663/258 = [GCF of 962,663]/[LCM of 28,258]= 13/3612
Therefore, the GCF of 962/28,663/258 is 13/3612.
To find the highest common factor of 962,663, 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 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 962,663 is 13.
Lets's calculate GCF of 962,663
| 13 | 962, 663 |
| 74, 51 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 962,663 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 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 962,663 . The biggest common factor number is the GCF number.
So the greatest common factor 962,663 is 13.
Lets's calculate LCM of 28,258
| 2 | 28, 258 |
| 14, 129 |
∴ So the LCM of the given numbers is 2 x 14 x 129 = 3612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3612
Therefore, the GCF of Fractions 962/28,663/258 is 13/3612
Least Common Multiple of 28,258 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 28,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,258) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(28,258) x common factors =2 x 1 = 2
LCM(28,258) = ( 28 × 258 ) / 2
LCM(28,258) = 7224 / 2
LCM(28,258) = 3612
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FAQs on GCF of Fractions of 962/28, 663/258
1. What is the HCF of 962,663?
The HCF of 962,663 is 13
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 962/28, 663/258?
Answer: GCF of Numerators as per given numbers 962/28, 663/258 is
GCF of Numerators i.e. for 962,663 is 13
LCM of denominators i.e. for 28,258 is 3612.
Thus, GCF of Fractions is 13/3612.Finally, GCF of Fractions for 962/28, 663/258 is 13/3612.