GCF of 980/123, 2265/124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 980/123, 2265/124 i.e 5/15252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 980/123, 2265/124.
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 980/123,2265/124?
Given fractions are 980/123,2265/124
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 980/123,2265/124, numerators are 980,2265
Denominators are 123,124
The GCF of 980,2265 is 5 .
LCM of 123,124 is 15252.
The greatest common factor of 980/123,2265/124 = [GCF of 980,2265]/[LCM of 123,124]= 5/15252
Therefore, the GCF of 980/123,2265/124 is 5/15252.
To find the highest common factor of 980,2265, we have to find the factors of both numbers and list the highest common factor.
The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
The factors of 2265 are 1, 3, 5, 15, 151, 453, 755, 2265
The HCF of 980,2265 is 5.
Lets's calculate GCF of 980,2265
| 5 | 980, 2265 |
| 196, 453 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 980,2265 By Matching Biggest Common Factor Method
Now, list down the factors of 980
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Now, list down the factors of 2265
:1,3,5,15,151,453,755,2265
Greatest Common Factor
We found the factors 980,2265 . The biggest common factor number is the GCF number.
So the greatest common factor 980,2265 is 5.
Lets's calculate LCM of 123,124
Given numbers has no common factors except 1. So, there LCM is their product i.e 15252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/15252
Therefore, the GCF of Fractions 980/123,2265/124 is 5/15252
Least Common Multiple of 123,124 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 123,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,124) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,124) x common factors =1 x 1 = 1
LCM(123,124) = ( 123 × 124 ) / 1
LCM(123,124) = 15252 / 1
LCM(123,124) = 15252
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FAQs on GCF of Fractions of 980/123, 2265/124
1. What is the HCF of 980,2265?
The HCF of 980,2265 is 5
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 980/123, 2265/124?
Answer: GCF of Numerators as per given numbers 980/123, 2265/124 is
GCF of Numerators i.e. for 980,2265 is 5
LCM of denominators i.e. for 123,124 is 15252.
Thus, GCF of Fractions is 5/15252.Finally, GCF of Fractions for 980/123, 2265/124 is 5/15252.