GCF of 8979/749, 6982/5178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8979/749, 6982/5178 i.e 1/3878322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8979/749, 6982/5178.
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 8979/749,6982/5178?
Given fractions are 8979/749,6982/5178
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 8979/749,6982/5178, numerators are 8979,6982
Denominators are 749,5178
The GCF of 8979,6982 is 1 .
LCM of 749,5178 is 3878322.
The greatest common factor of 8979/749,6982/5178 = [GCF of 8979,6982]/[LCM of 749,5178]= 1/3878322
Therefore, the GCF of 8979/749,6982/5178 is 1/3878322.
To find the highest common factor of 8979,6982, we have to find the factors of both numbers and list the highest common factor.
The factors of 8979 are 1, 3, 41, 73, 123, 219, 2993, 8979
The factors of 6982 are 1, 2, 3491, 6982
The HCF of 8979,6982 is 1.
Lets's calculate GCF of 8979,6982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8979,6982 By Matching Biggest Common Factor Method
Now, list down the factors of 8979
:1,3,41,73,123,219,2993,8979
Now, list down the factors of 6982
:1,2,3491,6982
Greatest Common Factor
We found the factors 8979,6982 . The biggest common factor number is the GCF number.
So the greatest common factor 8979,6982 is 1.
Lets's calculate LCM of 749,5178
Given numbers has no common factors except 1. So, there LCM is their product i.e 3878322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3878322
Therefore, the GCF of Fractions 8979/749,6982/5178 is 1/3878322
Least Common Multiple of 749,5178 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 749,5178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,5178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,5178) x common factors =1 x 1 = 1
LCM(749,5178) = ( 749 × 5178 ) / 1
LCM(749,5178) = 3878322 / 1
LCM(749,5178) = 3878322
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FAQs on GCF of Fractions of 8979/749, 6982/5178
1. What is the HCF of 8979,6982?
The HCF of 8979,6982 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 8979/749, 6982/5178?
Answer: GCF of Numerators as per given numbers 8979/749, 6982/5178 is
GCF of Numerators i.e. for 8979,6982 is 1
LCM of denominators i.e. for 749,5178 is 3878322.
Thus, GCF of Fractions is 1/3878322.Finally, GCF of Fractions for 8979/749, 6982/5178 is 1/3878322.