GCF of 637/886, 2109/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/886, 2109/678 i.e 1/300354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/886, 2109/678.
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 637/886,2109/678?
Given fractions are 637/886,2109/678
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 637/886,2109/678, numerators are 637,2109
Denominators are 886,678
The GCF of 637,2109 is 1 .
LCM of 886,678 is 300354.
The greatest common factor of 637/886,2109/678 = [GCF of 637,2109]/[LCM of 886,678]= 1/300354
Therefore, the GCF of 637/886,2109/678 is 1/300354.
To find the highest common factor of 637,2109, we have to find the factors of both numbers and list the highest common factor.
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 2109 are 1, 3, 19, 37, 57, 111, 703, 2109
The HCF of 637,2109 is 1.
Lets's calculate GCF of 637,2109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 637,2109 By Matching Biggest Common Factor Method
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 2109
:1,3,19,37,57,111,703,2109
Greatest Common Factor
We found the factors 637,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 637,2109 is 1.
Lets's calculate LCM of 886,678
| 2 | 886, 678 |
| 443, 339 |
∴ So the LCM of the given numbers is 2 x 443 x 339 = 300354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300354
Therefore, the GCF of Fractions 637/886,2109/678 is 1/300354
Least Common Multiple of 886,678 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 886,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,678) x common factors =2 x 1 = 2
LCM(886,678) = ( 886 × 678 ) / 2
LCM(886,678) = 600708 / 2
LCM(886,678) = 300354
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FAQs on GCF of Fractions of 637/886, 2109/678
1. What is the HCF of 637,2109?
The HCF of 637,2109 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 637/886, 2109/678?
Answer: GCF of Numerators as per given numbers 637/886, 2109/678 is
GCF of Numerators i.e. for 637,2109 is 1
LCM of denominators i.e. for 886,678 is 300354.
Thus, GCF of Fractions is 1/300354.Finally, GCF of Fractions for 637/886, 2109/678 is 1/300354.