GCF of 237/619, 1145/649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 237/619, 1145/649 i.e 1/401731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 237/619, 1145/649.
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 237/619,1145/649?
Given fractions are 237/619,1145/649
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 237/619,1145/649, numerators are 237,1145
Denominators are 619,649
The GCF of 237,1145 is 1 .
LCM of 619,649 is 401731.
The greatest common factor of 237/619,1145/649 = [GCF of 237,1145]/[LCM of 619,649]= 1/401731
Therefore, the GCF of 237/619,1145/649 is 1/401731.
To find the highest common factor of 237,1145, 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 1145 are 1, 5, 229, 1145
The HCF of 237,1145 is 1.
Lets's calculate GCF of 237,1145
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 237,1145 By Matching Biggest Common Factor Method
Now, list down the factors of 237
:1,3,79,237
Now, list down the factors of 1145
:1,5,229,1145
Greatest Common Factor
We found the factors 237,1145 . The biggest common factor number is the GCF number.
So the greatest common factor 237,1145 is 1.
Lets's calculate LCM of 619,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 401731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401731
Therefore, the GCF of Fractions 237/619,1145/649 is 1/401731
Least Common Multiple of 619,649 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 619,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,649) x common factors =1 x 1 = 1
LCM(619,649) = ( 619 × 649 ) / 1
LCM(619,649) = 401731 / 1
LCM(619,649) = 401731
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FAQs on GCF of Fractions of 237/619, 1145/649
1. What is the HCF of 237,1145?
The HCF of 237,1145 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 237/619, 1145/649?
Answer: GCF of Numerators as per given numbers 237/619, 1145/649 is
GCF of Numerators i.e. for 237,1145 is 1
LCM of denominators i.e. for 619,649 is 401731.
Thus, GCF of Fractions is 1/401731.Finally, GCF of Fractions for 237/619, 1145/649 is 1/401731.