GCF of 3107/949, 8275/1154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3107/949, 8275/1154 i.e 1/1095146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3107/949, 8275/1154.
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 3107/949,8275/1154?
Given fractions are 3107/949,8275/1154
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 3107/949,8275/1154, numerators are 3107,8275
Denominators are 949,1154
The GCF of 3107,8275 is 1 .
LCM of 949,1154 is 1095146.
The greatest common factor of 3107/949,8275/1154 = [GCF of 3107,8275]/[LCM of 949,1154]= 1/1095146
Therefore, the GCF of 3107/949,8275/1154 is 1/1095146.
To find the highest common factor of 3107,8275, we have to find the factors of both numbers and list the highest common factor.
The factors of 3107 are 1, 13, 239, 3107
The factors of 8275 are 1, 5, 25, 331, 1655, 8275
The HCF of 3107,8275 is 1.
Lets's calculate GCF of 3107,8275
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3107,8275 By Matching Biggest Common Factor Method
Now, list down the factors of 3107
:1,13,239,3107
Now, list down the factors of 8275
:1,5,25,331,1655,8275
Greatest Common Factor
We found the factors 3107,8275 . The biggest common factor number is the GCF number.
So the greatest common factor 3107,8275 is 1.
Lets's calculate LCM of 949,1154
Given numbers has no common factors except 1. So, there LCM is their product i.e 1095146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1095146
Therefore, the GCF of Fractions 3107/949,8275/1154 is 1/1095146
Least Common Multiple of 949,1154 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 949,1154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,1154) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,1154) x common factors =1 x 1 = 1
LCM(949,1154) = ( 949 × 1154 ) / 1
LCM(949,1154) = 1095146 / 1
LCM(949,1154) = 1095146
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FAQs on GCF of Fractions of 3107/949, 8275/1154
1. What is the HCF of 3107,8275?
The HCF of 3107,8275 is 1
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 3107/949, 8275/1154?
Answer: GCF of Numerators as per given numbers 3107/949, 8275/1154 is
GCF of Numerators i.e. for 3107,8275 is 1
LCM of denominators i.e. for 949,1154 is 1095146.
Thus, GCF of Fractions is 1/1095146.Finally, GCF of Fractions for 3107/949, 8275/1154 is 1/1095146.