GCF of 7493/295, 2413/171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7493/295, 2413/171 i.e 127/50445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7493/295, 2413/171.
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 7493/295,2413/171?
Given fractions are 7493/295,2413/171
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 7493/295,2413/171, numerators are 7493,2413
Denominators are 295,171
The GCF of 7493,2413 is 127 .
LCM of 295,171 is 50445.
The greatest common factor of 7493/295,2413/171 = [GCF of 7493,2413]/[LCM of 295,171]= 127/50445
Therefore, the GCF of 7493/295,2413/171 is 127/50445.
To find the highest common factor of 7493,2413, we have to find the factors of both numbers and list the highest common factor.
The factors of 7493 are 1, 59, 127, 7493
The factors of 2413 are 1, 19, 127, 2413
The HCF of 7493,2413 is 127.
Lets's calculate GCF of 7493,2413
| 127 | 7493, 2413 |
| 59, 19 |
∴ So the GCF of the given numbers is 127 = 127
Greatest Common Factor of 7493,2413 By Matching Biggest Common Factor Method
Now, list down the factors of 7493
:1,59,127,7493
Now, list down the factors of 2413
:1,19,127,2413
Greatest Common Factor
We found the factors 7493,2413 . The biggest common factor number is the GCF number.
So the greatest common factor 7493,2413 is 127.
Lets's calculate LCM of 295,171
Given numbers has no common factors except 1. So, there LCM is their product i.e 50445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 127/50445
Therefore, the GCF of Fractions 7493/295,2413/171 is 127/50445
Least Common Multiple of 295,171 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 295,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,171) x common factors =1 x 1 = 1
LCM(295,171) = ( 295 × 171 ) / 1
LCM(295,171) = 50445 / 1
LCM(295,171) = 50445
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FAQs on GCF of Fractions of 7493/295, 2413/171
1. What is the HCF of 7493,2413?
The HCF of 7493,2413 is 127
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 7493/295, 2413/171?
Answer: GCF of Numerators as per given numbers 7493/295, 2413/171 is
GCF of Numerators i.e. for 7493,2413 is 127
LCM of denominators i.e. for 295,171 is 50445.
Thus, GCF of Fractions is 127/50445.Finally, GCF of Fractions for 7493/295, 2413/171 is 127/50445.