GCF of 1358/930, 6141/7176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1358/930, 6141/7176 i.e 1/1112280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1358/930, 6141/7176.
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 1358/930,6141/7176?
Given fractions are 1358/930,6141/7176
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 1358/930,6141/7176, numerators are 1358,6141
Denominators are 930,7176
The GCF of 1358,6141 is 1 .
LCM of 930,7176 is 1112280.
The greatest common factor of 1358/930,6141/7176 = [GCF of 1358,6141]/[LCM of 930,7176]= 1/1112280
Therefore, the GCF of 1358/930,6141/7176 is 1/1112280.
To find the highest common factor of 1358,6141, we have to find the factors of both numbers and list the highest common factor.
The factors of 1358 are 1, 2, 7, 14, 97, 194, 679, 1358
The factors of 6141 are 1, 3, 23, 69, 89, 267, 2047, 6141
The HCF of 1358,6141 is 1.
Lets's calculate GCF of 1358,6141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1358,6141 By Matching Biggest Common Factor Method
Now, list down the factors of 1358
:1,2,7,14,97,194,679,1358
Now, list down the factors of 6141
:1,3,23,69,89,267,2047,6141
Greatest Common Factor
We found the factors 1358,6141 . The biggest common factor number is the GCF number.
So the greatest common factor 1358,6141 is 1.
Lets's calculate LCM of 930,7176
| 2 | 930, 7176 |
| 3 | 465, 3588 |
| 155, 1196 |
∴ So the LCM of the given numbers is 2 x 3 x 155 x 1196 = 1112280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1112280
Therefore, the GCF of Fractions 1358/930,6141/7176 is 1/1112280
Least Common Multiple of 930,7176 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 930,7176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,7176) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(930,7176) x common factors =6 x 1 = 6
LCM(930,7176) = ( 930 × 7176 ) / 6
LCM(930,7176) = 6673680 / 6
LCM(930,7176) = 1112280
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FAQs on GCF of Fractions of 1358/930, 6141/7176
1. What is the HCF of 1358,6141?
The HCF of 1358,6141 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 1358/930, 6141/7176?
Answer: GCF of Numerators as per given numbers 1358/930, 6141/7176 is
GCF of Numerators i.e. for 1358,6141 is 1
LCM of denominators i.e. for 930,7176 is 1112280.
Thus, GCF of Fractions is 1/1112280.Finally, GCF of Fractions for 1358/930, 6141/7176 is 1/1112280.