GCF of 1244/676, 6020/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1244/676, 6020/149 i.e 4/100724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1244/676, 6020/149.
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 1244/676,6020/149?
Given fractions are 1244/676,6020/149
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 1244/676,6020/149, numerators are 1244,6020
Denominators are 676,149
The GCF of 1244,6020 is 4 .
LCM of 676,149 is 100724.
The greatest common factor of 1244/676,6020/149 = [GCF of 1244,6020]/[LCM of 676,149]= 4/100724
Therefore, the GCF of 1244/676,6020/149 is 4/100724.
To find the highest common factor of 1244,6020, we have to find the factors of both numbers and list the highest common factor.
The factors of 1244 are 1, 2, 4, 311, 622, 1244
The factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020
The HCF of 1244,6020 is 4.
Lets's calculate GCF of 1244,6020
| 2 | 1244, 6020 |
| 2 | 622, 3010 |
| 311, 1505 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1244,6020 By Matching Biggest Common Factor Method
Now, list down the factors of 1244
:1,2,4,311,622,1244
Now, list down the factors of 6020
:1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020
Greatest Common Factor
We found the factors 1244,6020 . The biggest common factor number is the GCF number.
So the greatest common factor 1244,6020 is 4.
Lets's calculate LCM of 676,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 100724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/100724
Therefore, the GCF of Fractions 1244/676,6020/149 is 4/100724
Least Common Multiple of 676,149 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 676,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(676,149) x common factors =1 x 1 = 1
LCM(676,149) = ( 676 × 149 ) / 1
LCM(676,149) = 100724 / 1
LCM(676,149) = 100724
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FAQs on GCF of Fractions of 1244/676, 6020/149
1. What is the HCF of 1244,6020?
The HCF of 1244,6020 is 4
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 1244/676, 6020/149?
Answer: GCF of Numerators as per given numbers 1244/676, 6020/149 is
GCF of Numerators i.e. for 1244,6020 is 4
LCM of denominators i.e. for 676,149 is 100724.
Thus, GCF of Fractions is 4/100724.Finally, GCF of Fractions for 1244/676, 6020/149 is 4/100724.