GCF of 294/618, 907/268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 294/618, 907/268 i.e 1/82812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/618, 907/268.
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 294/618,907/268?
Given fractions are 294/618,907/268
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 294/618,907/268, numerators are 294,907
Denominators are 618,268
The GCF of 294,907 is 1 .
LCM of 618,268 is 82812.
The greatest common factor of 294/618,907/268 = [GCF of 294,907]/[LCM of 618,268]= 1/82812
Therefore, the GCF of 294/618,907/268 is 1/82812.
To find the highest common factor of 294,907, we have to find the factors of both numbers and list the highest common factor.
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The factors of 907 are 1, 907
The HCF of 294,907 is 1.
Lets's calculate GCF of 294,907
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 294,907 By Matching Biggest Common Factor Method
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Now, list down the factors of 907
:1,907
Greatest Common Factor
We found the factors 294,907 . The biggest common factor number is the GCF number.
So the greatest common factor 294,907 is 1.
Lets's calculate LCM of 618,268
| 2 | 618, 268 |
| 309, 134 |
∴ So the LCM of the given numbers is 2 x 309 x 134 = 82812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82812
Therefore, the GCF of Fractions 294/618,907/268 is 1/82812
Least Common Multiple of 618,268 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 618,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,268) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,268) x common factors =2 x 1 = 2
LCM(618,268) = ( 618 × 268 ) / 2
LCM(618,268) = 165624 / 2
LCM(618,268) = 82812
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FAQs on GCF of Fractions of 294/618, 907/268
1. What is the HCF of 294,907?
The HCF of 294,907 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 294/618, 907/268?
Answer: GCF of Numerators as per given numbers 294/618, 907/268 is
GCF of Numerators i.e. for 294,907 is 1
LCM of denominators i.e. for 618,268 is 82812.
Thus, GCF of Fractions is 1/82812.Finally, GCF of Fractions for 294/618, 907/268 is 1/82812.