GCF of 2180/712, 6291/7068
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2180/712, 6291/7068 i.e 1/1258104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2180/712, 6291/7068.
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 2180/712,6291/7068?
Given fractions are 2180/712,6291/7068
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 2180/712,6291/7068, numerators are 2180,6291
Denominators are 712,7068
The GCF of 2180,6291 is 1 .
LCM of 712,7068 is 1258104.
The greatest common factor of 2180/712,6291/7068 = [GCF of 2180,6291]/[LCM of 712,7068]= 1/1258104
Therefore, the GCF of 2180/712,6291/7068 is 1/1258104.
To find the highest common factor of 2180,6291, we have to find the factors of both numbers and list the highest common factor.
The factors of 2180 are 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180
The factors of 6291 are 1, 3, 9, 27, 233, 699, 2097, 6291
The HCF of 2180,6291 is 1.
Lets's calculate GCF of 2180,6291
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2180,6291 By Matching Biggest Common Factor Method
Now, list down the factors of 2180
:1,2,4,5,10,20,109,218,436,545,1090,2180
Now, list down the factors of 6291
:1,3,9,27,233,699,2097,6291
Greatest Common Factor
We found the factors 2180,6291 . The biggest common factor number is the GCF number.
So the greatest common factor 2180,6291 is 1.
Lets's calculate LCM of 712,7068
| 2 | 712, 7068 |
| 2 | 356, 3534 |
| 178, 1767 |
∴ So the LCM of the given numbers is 2 x 2 x 178 x 1767 = 1258104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1258104
Therefore, the GCF of Fractions 2180/712,6291/7068 is 1/1258104
Least Common Multiple of 712,7068 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 712,7068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,7068) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(712,7068) x common factors =4 x 1 = 4
LCM(712,7068) = ( 712 × 7068 ) / 4
LCM(712,7068) = 5032416 / 4
LCM(712,7068) = 1258104
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FAQs on GCF of Fractions of 2180/712, 6291/7068
1. What is the HCF of 2180,6291?
The HCF of 2180,6291 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 2180/712, 6291/7068?
Answer: GCF of Numerators as per given numbers 2180/712, 6291/7068 is
GCF of Numerators i.e. for 2180,6291 is 1
LCM of denominators i.e. for 712,7068 is 1258104.
Thus, GCF of Fractions is 1/1258104.Finally, GCF of Fractions for 2180/712, 6291/7068 is 1/1258104.