GCF of 294/367, 7434/657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 294/367, 7434/657 i.e 42/241119 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/367, 7434/657.
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 294/367,7434/657?
Given fractions are 294/367,7434/657
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 294/367,7434/657, numerators are 294,7434
Denominators are 367,657
The GCF of 294,7434 is 42 .
LCM of 367,657 is 241119.
The greatest common factor of 294/367,7434/657 = [GCF of 294,7434]/[LCM of 367,657]= 42/241119
Therefore, the GCF of 294/367,7434/657 is 42/241119.
To find the highest common factor of 294,7434, 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 7434 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434
The HCF of 294,7434 is 42.
Lets's calculate GCF of 294,7434
| 2 | 294, 7434 |
| 3 | 147, 3717 |
| 7 | 49, 1239 |
| 7, 177 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 294,7434 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 7434
:1,2,3,6,7,9,14,18,21,42,59,63,118,126,177,354,413,531,826,1062,1239,2478,3717,7434
Greatest Common Factor
We found the factors 294,7434 . The biggest common factor number is the GCF number.
So the greatest common factor 294,7434 is 42.
Lets's calculate LCM of 367,657
Given numbers has no common factors except 1. So, there LCM is their product i.e 241119
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/241119
Therefore, the GCF of Fractions 294/367,7434/657 is 42/241119
Least Common Multiple of 367,657 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 367,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,657) x common factors =1 x 1 = 1
LCM(367,657) = ( 367 × 657 ) / 1
LCM(367,657) = 241119 / 1
LCM(367,657) = 241119
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FAQs on GCF of Fractions of 294/367, 7434/657
1. What is the HCF of 294,7434?
The HCF of 294,7434 is 42
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 294/367, 7434/657?
Answer: GCF of Numerators as per given numbers 294/367, 7434/657 is
GCF of Numerators i.e. for 294,7434 is 42
LCM of denominators i.e. for 367,657 is 241119.
Thus, GCF of Fractions is 42/241119.Finally, GCF of Fractions for 294/367, 7434/657 is 42/241119.