GCF of 5972/658, 6475/6130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5972/658, 6475/6130 i.e 1/2016770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5972/658, 6475/6130.
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 5972/658,6475/6130?
Given fractions are 5972/658,6475/6130
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 5972/658,6475/6130, numerators are 5972,6475
Denominators are 658,6130
The GCF of 5972,6475 is 1 .
LCM of 658,6130 is 2016770.
The greatest common factor of 5972/658,6475/6130 = [GCF of 5972,6475]/[LCM of 658,6130]= 1/2016770
Therefore, the GCF of 5972/658,6475/6130 is 1/2016770.
To find the highest common factor of 5972,6475, we have to find the factors of both numbers and list the highest common factor.
The factors of 5972 are 1, 2, 4, 1493, 2986, 5972
The factors of 6475 are 1, 5, 7, 25, 35, 37, 175, 185, 259, 925, 1295, 6475
The HCF of 5972,6475 is 1.
Lets's calculate GCF of 5972,6475
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5972,6475 By Matching Biggest Common Factor Method
Now, list down the factors of 5972
:1,2,4,1493,2986,5972
Now, list down the factors of 6475
:1,5,7,25,35,37,175,185,259,925,1295,6475
Greatest Common Factor
We found the factors 5972,6475 . The biggest common factor number is the GCF number.
So the greatest common factor 5972,6475 is 1.
Lets's calculate LCM of 658,6130
| 2 | 658, 6130 |
| 329, 3065 |
∴ So the LCM of the given numbers is 2 x 329 x 3065 = 2016770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2016770
Therefore, the GCF of Fractions 5972/658,6475/6130 is 1/2016770
Least Common Multiple of 658,6130 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 658,6130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,6130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(658,6130) x common factors =2 x 1 = 2
LCM(658,6130) = ( 658 × 6130 ) / 2
LCM(658,6130) = 4033540 / 2
LCM(658,6130) = 2016770
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FAQs on GCF of Fractions of 5972/658, 6475/6130
1. What is the HCF of 5972,6475?
The HCF of 5972,6475 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 5972/658, 6475/6130?
Answer: GCF of Numerators as per given numbers 5972/658, 6475/6130 is
GCF of Numerators i.e. for 5972,6475 is 1
LCM of denominators i.e. for 658,6130 is 2016770.
Thus, GCF of Fractions is 1/2016770.Finally, GCF of Fractions for 5972/658, 6475/6130 is 1/2016770.