GCF of 98/769, 6161/9283
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 98/769, 6161/9283 i.e 1/7138627 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/769, 6161/9283.
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 98/769,6161/9283?
Given fractions are 98/769,6161/9283
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 98/769,6161/9283, numerators are 98,6161
Denominators are 769,9283
The GCF of 98,6161 is 1 .
LCM of 769,9283 is 7138627.
The greatest common factor of 98/769,6161/9283 = [GCF of 98,6161]/[LCM of 769,9283]= 1/7138627
Therefore, the GCF of 98/769,6161/9283 is 1/7138627.
To find the highest common factor of 98,6161, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 6161 are 1, 61, 101, 6161
The HCF of 98,6161 is 1.
Lets's calculate GCF of 98,6161
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 98,6161 By Matching Biggest Common Factor Method
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 6161
:1,61,101,6161
Greatest Common Factor
We found the factors 98,6161 . The biggest common factor number is the GCF number.
So the greatest common factor 98,6161 is 1.
Lets's calculate LCM of 769,9283
Given numbers has no common factors except 1. So, there LCM is their product i.e 7138627
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7138627
Therefore, the GCF of Fractions 98/769,6161/9283 is 1/7138627
Least Common Multiple of 769,9283 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 769,9283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,9283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,9283) x common factors =1 x 1 = 1
LCM(769,9283) = ( 769 × 9283 ) / 1
LCM(769,9283) = 7138627 / 1
LCM(769,9283) = 7138627
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FAQs on GCF of Fractions of 98/769, 6161/9283
1. What is the HCF of 98,6161?
The HCF of 98,6161 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 98/769, 6161/9283?
Answer: GCF of Numerators as per given numbers 98/769, 6161/9283 is
GCF of Numerators i.e. for 98,6161 is 1
LCM of denominators i.e. for 769,9283 is 7138627.
Thus, GCF of Fractions is 1/7138627.Finally, GCF of Fractions for 98/769, 6161/9283 is 1/7138627.