GCF of 9098/92, 2782/239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9098/92, 2782/239 i.e 2/21988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9098/92, 2782/239.
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 9098/92,2782/239?
Given fractions are 9098/92,2782/239
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 9098/92,2782/239, numerators are 9098,2782
Denominators are 92,239
The GCF of 9098,2782 is 2 .
LCM of 92,239 is 21988.
The greatest common factor of 9098/92,2782/239 = [GCF of 9098,2782]/[LCM of 92,239]= 2/21988
Therefore, the GCF of 9098/92,2782/239 is 2/21988.
To find the highest common factor of 9098,2782, we have to find the factors of both numbers and list the highest common factor.
The factors of 9098 are 1, 2, 4549, 9098
The factors of 2782 are 1, 2, 13, 26, 107, 214, 1391, 2782
The HCF of 9098,2782 is 2.
Lets's calculate GCF of 9098,2782
| 2 | 9098, 2782 |
| 4549, 1391 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9098,2782 By Matching Biggest Common Factor Method
Now, list down the factors of 9098
:1,2,4549,9098
Now, list down the factors of 2782
:1,2,13,26,107,214,1391,2782
Greatest Common Factor
We found the factors 9098,2782 . The biggest common factor number is the GCF number.
So the greatest common factor 9098,2782 is 2.
Lets's calculate LCM of 92,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 21988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21988
Therefore, the GCF of Fractions 9098/92,2782/239 is 2/21988
Least Common Multiple of 92,239 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 92,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,239) x common factors =1 x 1 = 1
LCM(92,239) = ( 92 × 239 ) / 1
LCM(92,239) = 21988 / 1
LCM(92,239) = 21988
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FAQs on GCF of Fractions of 9098/92, 2782/239
1. What is the HCF of 9098,2782?
The HCF of 9098,2782 is 2
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 9098/92, 2782/239?
Answer: GCF of Numerators as per given numbers 9098/92, 2782/239 is
GCF of Numerators i.e. for 9098,2782 is 2
LCM of denominators i.e. for 92,239 is 21988.
Thus, GCF of Fractions is 2/21988.Finally, GCF of Fractions for 9098/92, 2782/239 is 2/21988.