GCF of 1090/627, 9875/6089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1090/627, 9875/6089 i.e 5/3817803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1090/627, 9875/6089.
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 1090/627,9875/6089?
Given fractions are 1090/627,9875/6089
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 1090/627,9875/6089, numerators are 1090,9875
Denominators are 627,6089
The GCF of 1090,9875 is 5 .
LCM of 627,6089 is 3817803.
The greatest common factor of 1090/627,9875/6089 = [GCF of 1090,9875]/[LCM of 627,6089]= 5/3817803
Therefore, the GCF of 1090/627,9875/6089 is 5/3817803.
To find the highest common factor of 1090,9875, we have to find the factors of both numbers and list the highest common factor.
The factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090
The factors of 9875 are 1, 5, 25, 79, 125, 395, 1975, 9875
The HCF of 1090,9875 is 5.
Lets's calculate GCF of 1090,9875
| 5 | 1090, 9875 |
| 218, 1975 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1090,9875 By Matching Biggest Common Factor Method
Now, list down the factors of 1090
:1,2,5,10,109,218,545,1090
Now, list down the factors of 9875
:1,5,25,79,125,395,1975,9875
Greatest Common Factor
We found the factors 1090,9875 . The biggest common factor number is the GCF number.
So the greatest common factor 1090,9875 is 5.
Lets's calculate LCM of 627,6089
Given numbers has no common factors except 1. So, there LCM is their product i.e 3817803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3817803
Therefore, the GCF of Fractions 1090/627,9875/6089 is 5/3817803
Least Common Multiple of 627,6089 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 627,6089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,6089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,6089) x common factors =1 x 1 = 1
LCM(627,6089) = ( 627 × 6089 ) / 1
LCM(627,6089) = 3817803 / 1
LCM(627,6089) = 3817803
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FAQs on GCF of Fractions of 1090/627, 9875/6089
1. What is the HCF of 1090,9875?
The HCF of 1090,9875 is 5
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 1090/627, 9875/6089?
Answer: GCF of Numerators as per given numbers 1090/627, 9875/6089 is
GCF of Numerators i.e. for 1090,9875 is 5
LCM of denominators i.e. for 627,6089 is 3817803.
Thus, GCF of Fractions is 5/3817803.Finally, GCF of Fractions for 1090/627, 9875/6089 is 5/3817803.