GCF of 4495/271, 6758/194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4495/271, 6758/194 i.e 31/52574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4495/271, 6758/194.
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 4495/271,6758/194?
Given fractions are 4495/271,6758/194
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 4495/271,6758/194, numerators are 4495,6758
Denominators are 271,194
The GCF of 4495,6758 is 31 .
LCM of 271,194 is 52574.
The greatest common factor of 4495/271,6758/194 = [GCF of 4495,6758]/[LCM of 271,194]= 31/52574
Therefore, the GCF of 4495/271,6758/194 is 31/52574.
To find the highest common factor of 4495,6758, we have to find the factors of both numbers and list the highest common factor.
The factors of 4495 are 1, 5, 29, 31, 145, 155, 899, 4495
The factors of 6758 are 1, 2, 31, 62, 109, 218, 3379, 6758
The HCF of 4495,6758 is 31.
Lets's calculate GCF of 4495,6758
| 31 | 4495, 6758 |
| 145, 218 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 4495,6758 By Matching Biggest Common Factor Method
Now, list down the factors of 4495
:1,5,29,31,145,155,899,4495
Now, list down the factors of 6758
:1,2,31,62,109,218,3379,6758
Greatest Common Factor
We found the factors 4495,6758 . The biggest common factor number is the GCF number.
So the greatest common factor 4495,6758 is 31.
Lets's calculate LCM of 271,194
Given numbers has no common factors except 1. So, there LCM is their product i.e 52574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/52574
Therefore, the GCF of Fractions 4495/271,6758/194 is 31/52574
Least Common Multiple of 271,194 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 271,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,194) x common factors =1 x 1 = 1
LCM(271,194) = ( 271 × 194 ) / 1
LCM(271,194) = 52574 / 1
LCM(271,194) = 52574
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FAQs on GCF of Fractions of 4495/271, 6758/194
1. What is the HCF of 4495,6758?
The HCF of 4495,6758 is 31
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 4495/271, 6758/194?
Answer: GCF of Numerators as per given numbers 4495/271, 6758/194 is
GCF of Numerators i.e. for 4495,6758 is 31
LCM of denominators i.e. for 271,194 is 52574.
Thus, GCF of Fractions is 31/52574.Finally, GCF of Fractions for 4495/271, 6758/194 is 31/52574.