GCF of 1951/548, 5082/6586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1951/548, 5082/6586 i.e 1/1804564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1951/548, 5082/6586.
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 1951/548,5082/6586?
Given fractions are 1951/548,5082/6586
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 1951/548,5082/6586, numerators are 1951,5082
Denominators are 548,6586
The GCF of 1951,5082 is 1 .
LCM of 548,6586 is 1804564.
The greatest common factor of 1951/548,5082/6586 = [GCF of 1951,5082]/[LCM of 548,6586]= 1/1804564
Therefore, the GCF of 1951/548,5082/6586 is 1/1804564.
To find the highest common factor of 1951,5082, we have to find the factors of both numbers and list the highest common factor.
The factors of 1951 are 1, 1951
The factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082
The HCF of 1951,5082 is 1.
Lets's calculate GCF of 1951,5082
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1951,5082 By Matching Biggest Common Factor Method
Now, list down the factors of 1951
:1,1951
Now, list down the factors of 5082
:1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082
Greatest Common Factor
We found the factors 1951,5082 . The biggest common factor number is the GCF number.
So the greatest common factor 1951,5082 is 1.
Lets's calculate LCM of 548,6586
| 2 | 548, 6586 |
| 274, 3293 |
∴ So the LCM of the given numbers is 2 x 274 x 3293 = 1804564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1804564
Therefore, the GCF of Fractions 1951/548,5082/6586 is 1/1804564
Least Common Multiple of 548,6586 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 548,6586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,6586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(548,6586) x common factors =2 x 1 = 2
LCM(548,6586) = ( 548 × 6586 ) / 2
LCM(548,6586) = 3609128 / 2
LCM(548,6586) = 1804564
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FAQs on GCF of Fractions of 1951/548, 5082/6586
1. What is the HCF of 1951,5082?
The HCF of 1951,5082 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 1951/548, 5082/6586?
Answer: GCF of Numerators as per given numbers 1951/548, 5082/6586 is
GCF of Numerators i.e. for 1951,5082 is 1
LCM of denominators i.e. for 548,6586 is 1804564.
Thus, GCF of Fractions is 1/1804564.Finally, GCF of Fractions for 1951/548, 5082/6586 is 1/1804564.