GCF of 4062/102, 2262/1130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4062/102, 2262/1130 i.e 6/57630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4062/102, 2262/1130.
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 4062/102,2262/1130?
Given fractions are 4062/102,2262/1130
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 4062/102,2262/1130, numerators are 4062,2262
Denominators are 102,1130
The GCF of 4062,2262 is 6 .
LCM of 102,1130 is 57630.
The greatest common factor of 4062/102,2262/1130 = [GCF of 4062,2262]/[LCM of 102,1130]= 6/57630
Therefore, the GCF of 4062/102,2262/1130 is 6/57630.
To find the highest common factor of 4062,2262, we have to find the factors of both numbers and list the highest common factor.
The factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062
The factors of 2262 are 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 1131, 2262
The HCF of 4062,2262 is 6.
Lets's calculate GCF of 4062,2262
| 2 | 4062, 2262 |
| 3 | 2031, 1131 |
| 677, 377 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4062,2262 By Matching Biggest Common Factor Method
Now, list down the factors of 4062
:1,2,3,6,677,1354,2031,4062
Now, list down the factors of 2262
:1,2,3,6,13,26,29,39,58,78,87,174,377,754,1131,2262
Greatest Common Factor
We found the factors 4062,2262 . The biggest common factor number is the GCF number.
So the greatest common factor 4062,2262 is 6.
Lets's calculate LCM of 102,1130
| 2 | 102, 1130 |
| 51, 565 |
∴ So the LCM of the given numbers is 2 x 51 x 565 = 57630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/57630
Therefore, the GCF of Fractions 4062/102,2262/1130 is 6/57630
Least Common Multiple of 102,1130 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 102,1130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,1130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,1130) x common factors =2 x 1 = 2
LCM(102,1130) = ( 102 × 1130 ) / 2
LCM(102,1130) = 115260 / 2
LCM(102,1130) = 57630
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FAQs on GCF of Fractions of 4062/102, 2262/1130
1. What is the HCF of 4062,2262?
The HCF of 4062,2262 is 6
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 4062/102, 2262/1130?
Answer: GCF of Numerators as per given numbers 4062/102, 2262/1130 is
GCF of Numerators i.e. for 4062,2262 is 6
LCM of denominators i.e. for 102,1130 is 57630.
Thus, GCF of Fractions is 6/57630.Finally, GCF of Fractions for 4062/102, 2262/1130 is 6/57630.