GCF of 5510/627, 2675/6718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5510/627, 2675/6718 i.e 5/4212186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5510/627, 2675/6718.
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 5510/627,2675/6718?
Given fractions are 5510/627,2675/6718
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 5510/627,2675/6718, numerators are 5510,2675
Denominators are 627,6718
The GCF of 5510,2675 is 5 .
LCM of 627,6718 is 4212186.
The greatest common factor of 5510/627,2675/6718 = [GCF of 5510,2675]/[LCM of 627,6718]= 5/4212186
Therefore, the GCF of 5510/627,2675/6718 is 5/4212186.
To find the highest common factor of 5510,2675, we have to find the factors of both numbers and list the highest common factor.
The factors of 5510 are 1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510
The factors of 2675 are 1, 5, 25, 107, 535, 2675
The HCF of 5510,2675 is 5.
Lets's calculate GCF of 5510,2675
| 5 | 5510, 2675 |
| 1102, 535 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5510,2675 By Matching Biggest Common Factor Method
Now, list down the factors of 5510
:1,2,5,10,19,29,38,58,95,145,190,290,551,1102,2755,5510
Now, list down the factors of 2675
:1,5,25,107,535,2675
Greatest Common Factor
We found the factors 5510,2675 . The biggest common factor number is the GCF number.
So the greatest common factor 5510,2675 is 5.
Lets's calculate LCM of 627,6718
Given numbers has no common factors except 1. So, there LCM is their product i.e 4212186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4212186
Therefore, the GCF of Fractions 5510/627,2675/6718 is 5/4212186
Least Common Multiple of 627,6718 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 627,6718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,6718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,6718) x common factors =1 x 1 = 1
LCM(627,6718) = ( 627 × 6718 ) / 1
LCM(627,6718) = 4212186 / 1
LCM(627,6718) = 4212186
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FAQs on GCF of Fractions of 5510/627, 2675/6718
1. What is the HCF of 5510,2675?
The HCF of 5510,2675 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 5510/627, 2675/6718?
Answer: GCF of Numerators as per given numbers 5510/627, 2675/6718 is
GCF of Numerators i.e. for 5510,2675 is 5
LCM of denominators i.e. for 627,6718 is 4212186.
Thus, GCF of Fractions is 5/4212186.Finally, GCF of Fractions for 5510/627, 2675/6718 is 5/4212186.