GCF of 239/51, 376/278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 239/51, 376/278 i.e 1/14178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 239/51, 376/278.
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 239/51,376/278?
Given fractions are 239/51,376/278
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 239/51,376/278, numerators are 239,376
Denominators are 51,278
The GCF of 239,376 is 1 .
LCM of 51,278 is 14178.
The greatest common factor of 239/51,376/278 = [GCF of 239,376]/[LCM of 51,278]= 1/14178
Therefore, the GCF of 239/51,376/278 is 1/14178.
To find the highest common factor of 239,376, we have to find the factors of both numbers and list the highest common factor.
The factors of 239 are 1, 239
The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376
The HCF of 239,376 is 1.
Lets's calculate GCF of 239,376
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 239,376 By Matching Biggest Common Factor Method
Now, list down the factors of 239
:1,239
Now, list down the factors of 376
:1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 239,376 . The biggest common factor number is the GCF number.
So the greatest common factor 239,376 is 1.
Lets's calculate LCM of 51,278
Given numbers has no common factors except 1. So, there LCM is their product i.e 14178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14178
Therefore, the GCF of Fractions 239/51,376/278 is 1/14178
Least Common Multiple of 51,278 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 51,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,278) x common factors =1 x 1 = 1
LCM(51,278) = ( 51 × 278 ) / 1
LCM(51,278) = 14178 / 1
LCM(51,278) = 14178
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FAQs on GCF of Fractions of 239/51, 376/278
1. What is the HCF of 239,376?
The HCF of 239,376 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 239/51, 376/278?
Answer: GCF of Numerators as per given numbers 239/51, 376/278 is
GCF of Numerators i.e. for 239,376 is 1
LCM of denominators i.e. for 51,278 is 14178.
Thus, GCF of Fractions is 1/14178.Finally, GCF of Fractions for 239/51, 376/278 is 1/14178.