GCF of 3171/976, 7208/8506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3171/976, 7208/8506 i.e 1/4150928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3171/976, 7208/8506.
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 3171/976,7208/8506?
Given fractions are 3171/976,7208/8506
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 3171/976,7208/8506, numerators are 3171,7208
Denominators are 976,8506
The GCF of 3171,7208 is 1 .
LCM of 976,8506 is 4150928.
The greatest common factor of 3171/976,7208/8506 = [GCF of 3171,7208]/[LCM of 976,8506]= 1/4150928
Therefore, the GCF of 3171/976,7208/8506 is 1/4150928.
To find the highest common factor of 3171,7208, we have to find the factors of both numbers and list the highest common factor.
The factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171
The factors of 7208 are 1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208
The HCF of 3171,7208 is 1.
Lets's calculate GCF of 3171,7208
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3171,7208 By Matching Biggest Common Factor Method
Now, list down the factors of 3171
:1,3,7,21,151,453,1057,3171
Now, list down the factors of 7208
:1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208
Greatest Common Factor
We found the factors 3171,7208 . The biggest common factor number is the GCF number.
So the greatest common factor 3171,7208 is 1.
Lets's calculate LCM of 976,8506
| 2 | 976, 8506 |
| 488, 4253 |
∴ So the LCM of the given numbers is 2 x 488 x 4253 = 4150928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4150928
Therefore, the GCF of Fractions 3171/976,7208/8506 is 1/4150928
Least Common Multiple of 976,8506 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 976,8506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,8506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(976,8506) x common factors =2 x 1 = 2
LCM(976,8506) = ( 976 × 8506 ) / 2
LCM(976,8506) = 8301856 / 2
LCM(976,8506) = 4150928
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3171/976, 7208/8506
1. What is the HCF of 3171,7208?
The HCF of 3171,7208 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 3171/976, 7208/8506?
Answer: GCF of Numerators as per given numbers 3171/976, 7208/8506 is
GCF of Numerators i.e. for 3171,7208 is 1
LCM of denominators i.e. for 976,8506 is 4150928.
Thus, GCF of Fractions is 1/4150928.Finally, GCF of Fractions for 3171/976, 7208/8506 is 1/4150928.