GCF of 988/959, 239/822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 988/959, 239/822 i.e 1/5754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 988/959, 239/822.
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 988/959,239/822?
Given fractions are 988/959,239/822
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 988/959,239/822, numerators are 988,239
Denominators are 959,822
The GCF of 988,239 is 1 .
LCM of 959,822 is 5754.
The greatest common factor of 988/959,239/822 = [GCF of 988,239]/[LCM of 959,822]= 1/5754
Therefore, the GCF of 988/959,239/822 is 1/5754.
To find the highest common factor of 988,239, we have to find the factors of both numbers and list the highest common factor.
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The factors of 239 are 1, 239
The HCF of 988,239 is 1.
Lets's calculate GCF of 988,239
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 988,239 By Matching Biggest Common Factor Method
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
Now, list down the factors of 239
:1,239
Greatest Common Factor
We found the factors 988,239 . The biggest common factor number is the GCF number.
So the greatest common factor 988,239 is 1.
Lets's calculate LCM of 959,822
| 137 | 959, 822 |
| 7, 6 |
∴ So the LCM of the given numbers is 137 x 7 x 6 = 5754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5754
Therefore, the GCF of Fractions 988/959,239/822 is 1/5754
Least Common Multiple of 959,822 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 959,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,822) = 137
common factors(in case of two or more numbers have common factors) = 1
GCF(959,822) x common factors =137 x 1 = 137
LCM(959,822) = ( 959 × 822 ) / 137
LCM(959,822) = 788298 / 137
LCM(959,822) = 5754
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FAQs on GCF of Fractions of 988/959, 239/822
1. What is the HCF of 988,239?
The HCF of 988,239 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 988/959, 239/822?
Answer: GCF of Numerators as per given numbers 988/959, 239/822 is
GCF of Numerators i.e. for 988,239 is 1
LCM of denominators i.e. for 959,822 is 5754.
Thus, GCF of Fractions is 1/5754.Finally, GCF of Fractions for 988/959, 239/822 is 1/5754.