GCF of 237/935, 1554/404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 237/935, 1554/404 i.e 3/377740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 237/935, 1554/404.
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 237/935,1554/404?
Given fractions are 237/935,1554/404
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 237/935,1554/404, numerators are 237,1554
Denominators are 935,404
The GCF of 237,1554 is 3 .
LCM of 935,404 is 377740.
The greatest common factor of 237/935,1554/404 = [GCF of 237,1554]/[LCM of 935,404]= 3/377740
Therefore, the GCF of 237/935,1554/404 is 3/377740.
To find the highest common factor of 237,1554, we have to find the factors of both numbers and list the highest common factor.
The factors of 237 are 1, 3, 79, 237
The factors of 1554 are 1, 2, 3, 6, 7, 14, 21, 37, 42, 74, 111, 222, 259, 518, 777, 1554
The HCF of 237,1554 is 3.
Lets's calculate GCF of 237,1554
| 3 | 237, 1554 |
| 79, 518 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 237,1554 By Matching Biggest Common Factor Method
Now, list down the factors of 237
:1,3,79,237
Now, list down the factors of 1554
:1,2,3,6,7,14,21,37,42,74,111,222,259,518,777,1554
Greatest Common Factor
We found the factors 237,1554 . The biggest common factor number is the GCF number.
So the greatest common factor 237,1554 is 3.
Lets's calculate LCM of 935,404
Given numbers has no common factors except 1. So, there LCM is their product i.e 377740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/377740
Therefore, the GCF of Fractions 237/935,1554/404 is 3/377740
Least Common Multiple of 935,404 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 935,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(935,404) x common factors =1 x 1 = 1
LCM(935,404) = ( 935 × 404 ) / 1
LCM(935,404) = 377740 / 1
LCM(935,404) = 377740
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FAQs on GCF of Fractions of 237/935, 1554/404
1. What is the HCF of 237,1554?
The HCF of 237,1554 is 3
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 237/935, 1554/404?
Answer: GCF of Numerators as per given numbers 237/935, 1554/404 is
GCF of Numerators i.e. for 237,1554 is 3
LCM of denominators i.e. for 935,404 is 377740.
Thus, GCF of Fractions is 3/377740.Finally, GCF of Fractions for 237/935, 1554/404 is 3/377740.