GCF of 1012/722, 2120/8378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1012/722, 2120/8378 i.e 4/3024458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1012/722, 2120/8378.
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 1012/722,2120/8378?
Given fractions are 1012/722,2120/8378
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 1012/722,2120/8378, numerators are 1012,2120
Denominators are 722,8378
The GCF of 1012,2120 is 4 .
LCM of 722,8378 is 3024458.
The greatest common factor of 1012/722,2120/8378 = [GCF of 1012,2120]/[LCM of 722,8378]= 4/3024458
Therefore, the GCF of 1012/722,2120/8378 is 4/3024458.
To find the highest common factor of 1012,2120, we have to find the factors of both numbers and list the highest common factor.
The factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012
The factors of 2120 are 1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120
The HCF of 1012,2120 is 4.
Lets's calculate GCF of 1012,2120
| 2 | 1012, 2120 |
| 2 | 506, 1060 |
| 253, 530 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1012,2120 By Matching Biggest Common Factor Method
Now, list down the factors of 1012
:1,2,4,11,22,23,44,46,92,253,506,1012
Now, list down the factors of 2120
:1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120
Greatest Common Factor
We found the factors 1012,2120 . The biggest common factor number is the GCF number.
So the greatest common factor 1012,2120 is 4.
Lets's calculate LCM of 722,8378
| 2 | 722, 8378 |
| 361, 4189 |
∴ So the LCM of the given numbers is 2 x 361 x 4189 = 3024458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3024458
Therefore, the GCF of Fractions 1012/722,2120/8378 is 4/3024458
Least Common Multiple of 722,8378 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 722,8378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,8378) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,8378) x common factors =2 x 1 = 2
LCM(722,8378) = ( 722 × 8378 ) / 2
LCM(722,8378) = 6048916 / 2
LCM(722,8378) = 3024458
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FAQs on GCF of Fractions of 1012/722, 2120/8378
1. What is the HCF of 1012,2120?
The HCF of 1012,2120 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 1012/722, 2120/8378?
Answer: GCF of Numerators as per given numbers 1012/722, 2120/8378 is
GCF of Numerators i.e. for 1012,2120 is 4
LCM of denominators i.e. for 722,8378 is 3024458.
Thus, GCF of Fractions is 4/3024458.Finally, GCF of Fractions for 1012/722, 2120/8378 is 4/3024458.