GCF of 602/289, 1022/113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 602/289, 1022/113 i.e 14/32657 easily. The following is the detailed procedure to determine the greatest common factor of fractions 602/289, 1022/113.
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 602/289,1022/113?
Given fractions are 602/289,1022/113
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 602/289,1022/113, numerators are 602,1022
Denominators are 289,113
The GCF of 602,1022 is 14 .
LCM of 289,113 is 32657.
The greatest common factor of 602/289,1022/113 = [GCF of 602,1022]/[LCM of 289,113]= 14/32657
Therefore, the GCF of 602/289,1022/113 is 14/32657.
To find the highest common factor of 602,1022, we have to find the factors of both numbers and list the highest common factor.
The factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602
The factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022
The HCF of 602,1022 is 14.
Lets's calculate GCF of 602,1022
| 2 | 602, 1022 |
| 7 | 301, 511 |
| 43, 73 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 602,1022 By Matching Biggest Common Factor Method
Now, list down the factors of 602
:1,2,7,14,43,86,301,602
Now, list down the factors of 1022
:1,2,7,14,73,146,511,1022
Greatest Common Factor
We found the factors 602,1022 . The biggest common factor number is the GCF number.
So the greatest common factor 602,1022 is 14.
Lets's calculate LCM of 289,113
Given numbers has no common factors except 1. So, there LCM is their product i.e 32657
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/32657
Therefore, the GCF of Fractions 602/289,1022/113 is 14/32657
Least Common Multiple of 289,113 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 289,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,113) x common factors =1 x 1 = 1
LCM(289,113) = ( 289 × 113 ) / 1
LCM(289,113) = 32657 / 1
LCM(289,113) = 32657
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FAQs on GCF of Fractions of 602/289, 1022/113
1. What is the HCF of 602,1022?
The HCF of 602,1022 is 14
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 602/289, 1022/113?
Answer: GCF of Numerators as per given numbers 602/289, 1022/113 is
GCF of Numerators i.e. for 602,1022 is 14
LCM of denominators i.e. for 289,113 is 32657.
Thus, GCF of Fractions is 14/32657.Finally, GCF of Fractions for 602/289, 1022/113 is 14/32657.