GCF of 118/429, 971/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 118/429, 971/319 i.e 1/12441 easily. The following is the detailed procedure to determine the greatest common factor of fractions 118/429, 971/319.
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 118/429,971/319?
Given fractions are 118/429,971/319
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 118/429,971/319, numerators are 118,971
Denominators are 429,319
The GCF of 118,971 is 1 .
LCM of 429,319 is 12441.
The greatest common factor of 118/429,971/319 = [GCF of 118,971]/[LCM of 429,319]= 1/12441
Therefore, the GCF of 118/429,971/319 is 1/12441.
To find the highest common factor of 118,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 118 are 1, 2, 59, 118
The factors of 971 are 1, 971
The HCF of 118,971 is 1.
Lets's calculate GCF of 118,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 118,971 By Matching Biggest Common Factor Method
Now, list down the factors of 118
:1,2,59,118
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 118,971 . The biggest common factor number is the GCF number.
So the greatest common factor 118,971 is 1.
Lets's calculate LCM of 429,319
| 11 | 429, 319 |
| 39, 29 |
∴ So the LCM of the given numbers is 11 x 39 x 29 = 12441
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12441
Therefore, the GCF of Fractions 118/429,971/319 is 1/12441
Least Common Multiple of 429,319 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 429,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,319) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(429,319) x common factors =11 x 1 = 11
LCM(429,319) = ( 429 × 319 ) / 11
LCM(429,319) = 136851 / 11
LCM(429,319) = 12441
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FAQs on GCF of Fractions of 118/429, 971/319
1. What is the HCF of 118,971?
The HCF of 118,971 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 118/429, 971/319?
Answer: GCF of Numerators as per given numbers 118/429, 971/319 is
GCF of Numerators i.e. for 118,971 is 1
LCM of denominators i.e. for 429,319 is 12441.
Thus, GCF of Fractions is 1/12441.Finally, GCF of Fractions for 118/429, 971/319 is 1/12441.