GCF of 2618/925, 8868/630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2618/925, 8868/630 i.e 2/116550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2618/925, 8868/630.
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 2618/925,8868/630?
Given fractions are 2618/925,8868/630
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 2618/925,8868/630, numerators are 2618,8868
Denominators are 925,630
The GCF of 2618,8868 is 2 .
LCM of 925,630 is 116550.
The greatest common factor of 2618/925,8868/630 = [GCF of 2618,8868]/[LCM of 925,630]= 2/116550
Therefore, the GCF of 2618/925,8868/630 is 2/116550.
To find the highest common factor of 2618,8868, we have to find the factors of both numbers and list the highest common factor.
The factors of 2618 are 1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618
The factors of 8868 are 1, 2, 3, 4, 6, 12, 739, 1478, 2217, 2956, 4434, 8868
The HCF of 2618,8868 is 2.
Lets's calculate GCF of 2618,8868
| 2 | 2618, 8868 |
| 1309, 4434 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2618,8868 By Matching Biggest Common Factor Method
Now, list down the factors of 2618
:1,2,7,11,14,17,22,34,77,119,154,187,238,374,1309,2618
Now, list down the factors of 8868
:1,2,3,4,6,12,739,1478,2217,2956,4434,8868
Greatest Common Factor
We found the factors 2618,8868 . The biggest common factor number is the GCF number.
So the greatest common factor 2618,8868 is 2.
Lets's calculate LCM of 925,630
| 5 | 925, 630 |
| 185, 126 |
∴ So the LCM of the given numbers is 5 x 185 x 126 = 116550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116550
Therefore, the GCF of Fractions 2618/925,8868/630 is 2/116550
Least Common Multiple of 925,630 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 925,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,630) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(925,630) x common factors =5 x 1 = 5
LCM(925,630) = ( 925 × 630 ) / 5
LCM(925,630) = 582750 / 5
LCM(925,630) = 116550
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FAQs on GCF of Fractions of 2618/925, 8868/630
1. What is the HCF of 2618,8868?
The HCF of 2618,8868 is 2
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 2618/925, 8868/630?
Answer: GCF of Numerators as per given numbers 2618/925, 8868/630 is
GCF of Numerators i.e. for 2618,8868 is 2
LCM of denominators i.e. for 925,630 is 116550.
Thus, GCF of Fractions is 2/116550.Finally, GCF of Fractions for 2618/925, 8868/630 is 2/116550.