GCF of 6151/678, 1290/5060
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6151/678, 1290/5060 i.e 1/1715340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6151/678, 1290/5060.
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 6151/678,1290/5060?
Given fractions are 6151/678,1290/5060
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 6151/678,1290/5060, numerators are 6151,1290
Denominators are 678,5060
The GCF of 6151,1290 is 1 .
LCM of 678,5060 is 1715340.
The greatest common factor of 6151/678,1290/5060 = [GCF of 6151,1290]/[LCM of 678,5060]= 1/1715340
Therefore, the GCF of 6151/678,1290/5060 is 1/1715340.
To find the highest common factor of 6151,1290, we have to find the factors of both numbers and list the highest common factor.
The factors of 6151 are 1, 6151
The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290
The HCF of 6151,1290 is 1.
Lets's calculate GCF of 6151,1290
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6151,1290 By Matching Biggest Common Factor Method
Now, list down the factors of 6151
:1,6151
Now, list down the factors of 1290
:1,2,3,5,6,10,15,30,43,86,129,215,258,430,645,1290
Greatest Common Factor
We found the factors 6151,1290 . The biggest common factor number is the GCF number.
So the greatest common factor 6151,1290 is 1.
Lets's calculate LCM of 678,5060
| 2 | 678, 5060 |
| 339, 2530 |
∴ So the LCM of the given numbers is 2 x 339 x 2530 = 1715340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1715340
Therefore, the GCF of Fractions 6151/678,1290/5060 is 1/1715340
Least Common Multiple of 678,5060 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 678,5060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,5060) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(678,5060) x common factors =2 x 1 = 2
LCM(678,5060) = ( 678 × 5060 ) / 2
LCM(678,5060) = 3430680 / 2
LCM(678,5060) = 1715340
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FAQs on GCF of Fractions of 6151/678, 1290/5060
1. What is the HCF of 6151,1290?
The HCF of 6151,1290 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 6151/678, 1290/5060?
Answer: GCF of Numerators as per given numbers 6151/678, 1290/5060 is
GCF of Numerators i.e. for 6151,1290 is 1
LCM of denominators i.e. for 678,5060 is 1715340.
Thus, GCF of Fractions is 1/1715340.Finally, GCF of Fractions for 6151/678, 1290/5060 is 1/1715340.