GCF of 4980/662, 2327/9281
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4980/662, 2327/9281 i.e 1/6144022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4980/662, 2327/9281.
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 4980/662,2327/9281?
Given fractions are 4980/662,2327/9281
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 4980/662,2327/9281, numerators are 4980,2327
Denominators are 662,9281
The GCF of 4980,2327 is 1 .
LCM of 662,9281 is 6144022.
The greatest common factor of 4980/662,2327/9281 = [GCF of 4980,2327]/[LCM of 662,9281]= 1/6144022
Therefore, the GCF of 4980/662,2327/9281 is 1/6144022.
To find the highest common factor of 4980,2327, we have to find the factors of both numbers and list the highest common factor.
The factors of 4980 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980
The factors of 2327 are 1, 13, 179, 2327
The HCF of 4980,2327 is 1.
Lets's calculate GCF of 4980,2327
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4980,2327 By Matching Biggest Common Factor Method
Now, list down the factors of 4980
:1,2,3,4,5,6,10,12,15,20,30,60,83,166,249,332,415,498,830,996,1245,1660,2490,4980
Now, list down the factors of 2327
:1,13,179,2327
Greatest Common Factor
We found the factors 4980,2327 . The biggest common factor number is the GCF number.
So the greatest common factor 4980,2327 is 1.
Lets's calculate LCM of 662,9281
Given numbers has no common factors except 1. So, there LCM is their product i.e 6144022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6144022
Therefore, the GCF of Fractions 4980/662,2327/9281 is 1/6144022
Least Common Multiple of 662,9281 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 662,9281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,9281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(662,9281) x common factors =1 x 1 = 1
LCM(662,9281) = ( 662 × 9281 ) / 1
LCM(662,9281) = 6144022 / 1
LCM(662,9281) = 6144022
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FAQs on GCF of Fractions of 4980/662, 2327/9281
1. What is the HCF of 4980,2327?
The HCF of 4980,2327 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 4980/662, 2327/9281?
Answer: GCF of Numerators as per given numbers 4980/662, 2327/9281 is
GCF of Numerators i.e. for 4980,2327 is 1
LCM of denominators i.e. for 662,9281 is 6144022.
Thus, GCF of Fractions is 1/6144022.Finally, GCF of Fractions for 4980/662, 2327/9281 is 1/6144022.