GCF of 6362/135, 7122/103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6362/135, 7122/103 i.e 2/13905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6362/135, 7122/103.
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 6362/135,7122/103?
Given fractions are 6362/135,7122/103
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 6362/135,7122/103, numerators are 6362,7122
Denominators are 135,103
The GCF of 6362,7122 is 2 .
LCM of 135,103 is 13905.
The greatest common factor of 6362/135,7122/103 = [GCF of 6362,7122]/[LCM of 135,103]= 2/13905
Therefore, the GCF of 6362/135,7122/103 is 2/13905.
To find the highest common factor of 6362,7122, we have to find the factors of both numbers and list the highest common factor.
The factors of 6362 are 1, 2, 3181, 6362
The factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122
The HCF of 6362,7122 is 2.
Lets's calculate GCF of 6362,7122
| 2 | 6362, 7122 |
| 3181, 3561 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6362,7122 By Matching Biggest Common Factor Method
Now, list down the factors of 6362
:1,2,3181,6362
Now, list down the factors of 7122
:1,2,3,6,1187,2374,3561,7122
Greatest Common Factor
We found the factors 6362,7122 . The biggest common factor number is the GCF number.
So the greatest common factor 6362,7122 is 2.
Lets's calculate LCM of 135,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 13905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13905
Therefore, the GCF of Fractions 6362/135,7122/103 is 2/13905
Least Common Multiple of 135,103 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 135,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(135,103) x common factors =1 x 1 = 1
LCM(135,103) = ( 135 × 103 ) / 1
LCM(135,103) = 13905 / 1
LCM(135,103) = 13905
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FAQs on GCF of Fractions of 6362/135, 7122/103
1. What is the HCF of 6362,7122?
The HCF of 6362,7122 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 6362/135, 7122/103?
Answer: GCF of Numerators as per given numbers 6362/135, 7122/103 is
GCF of Numerators i.e. for 6362,7122 is 2
LCM of denominators i.e. for 135,103 is 13905.
Thus, GCF of Fractions is 2/13905.Finally, GCF of Fractions for 6362/135, 7122/103 is 2/13905.