GCF of 6117/414, 5332/5740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6117/414, 5332/5740 i.e 1/1188180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6117/414, 5332/5740.
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 6117/414,5332/5740?
Given fractions are 6117/414,5332/5740
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 6117/414,5332/5740, numerators are 6117,5332
Denominators are 414,5740
The GCF of 6117,5332 is 1 .
LCM of 414,5740 is 1188180.
The greatest common factor of 6117/414,5332/5740 = [GCF of 6117,5332]/[LCM of 414,5740]= 1/1188180
Therefore, the GCF of 6117/414,5332/5740 is 1/1188180.
To find the highest common factor of 6117,5332, we have to find the factors of both numbers and list the highest common factor.
The factors of 6117 are 1, 3, 2039, 6117
The factors of 5332 are 1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332
The HCF of 6117,5332 is 1.
Lets's calculate GCF of 6117,5332
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6117,5332 By Matching Biggest Common Factor Method
Now, list down the factors of 6117
:1,3,2039,6117
Now, list down the factors of 5332
:1,2,4,31,43,62,86,124,172,1333,2666,5332
Greatest Common Factor
We found the factors 6117,5332 . The biggest common factor number is the GCF number.
So the greatest common factor 6117,5332 is 1.
Lets's calculate LCM of 414,5740
| 2 | 414, 5740 |
| 207, 2870 |
∴ So the LCM of the given numbers is 2 x 207 x 2870 = 1188180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1188180
Therefore, the GCF of Fractions 6117/414,5332/5740 is 1/1188180
Least Common Multiple of 414,5740 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 414,5740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,5740) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,5740) x common factors =2 x 1 = 2
LCM(414,5740) = ( 414 × 5740 ) / 2
LCM(414,5740) = 2376360 / 2
LCM(414,5740) = 1188180
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FAQs on GCF of Fractions of 6117/414, 5332/5740
1. What is the HCF of 6117,5332?
The HCF of 6117,5332 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 6117/414, 5332/5740?
Answer: GCF of Numerators as per given numbers 6117/414, 5332/5740 is
GCF of Numerators i.e. for 6117,5332 is 1
LCM of denominators i.e. for 414,5740 is 1188180.
Thus, GCF of Fractions is 1/1188180.Finally, GCF of Fractions for 6117/414, 5332/5740 is 1/1188180.