GCF of 1134/756, 5802/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1134/756, 5802/114 i.e 6/14364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1134/756, 5802/114.
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 1134/756,5802/114?
Given fractions are 1134/756,5802/114
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 1134/756,5802/114, numerators are 1134,5802
Denominators are 756,114
The GCF of 1134,5802 is 6 .
LCM of 756,114 is 14364.
The greatest common factor of 1134/756,5802/114 = [GCF of 1134,5802]/[LCM of 756,114]= 6/14364
Therefore, the GCF of 1134/756,5802/114 is 6/14364.
To find the highest common factor of 1134,5802, we have to find the factors of both numbers and list the highest common factor.
The factors of 1134 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134
The factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802
The HCF of 1134,5802 is 6.
Lets's calculate GCF of 1134,5802
| 2 | 1134, 5802 |
| 3 | 567, 2901 |
| 189, 967 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1134,5802 By Matching Biggest Common Factor Method
Now, list down the factors of 1134
:1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,378,567,1134
Now, list down the factors of 5802
:1,2,3,6,967,1934,2901,5802
Greatest Common Factor
We found the factors 1134,5802 . The biggest common factor number is the GCF number.
So the greatest common factor 1134,5802 is 6.
Lets's calculate LCM of 756,114
| 2 | 756, 114 |
| 3 | 378, 57 |
| 126, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 126 x 19 = 14364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/14364
Therefore, the GCF of Fractions 1134/756,5802/114 is 6/14364
Least Common Multiple of 756,114 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 756,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,114) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(756,114) x common factors =6 x 1 = 6
LCM(756,114) = ( 756 × 114 ) / 6
LCM(756,114) = 86184 / 6
LCM(756,114) = 14364
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FAQs on GCF of Fractions of 1134/756, 5802/114
1. What is the HCF of 1134,5802?
The HCF of 1134,5802 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 1134/756, 5802/114?
Answer: GCF of Numerators as per given numbers 1134/756, 5802/114 is
GCF of Numerators i.e. for 1134,5802 is 6
LCM of denominators i.e. for 756,114 is 14364.
Thus, GCF of Fractions is 6/14364.Finally, GCF of Fractions for 1134/756, 5802/114 is 6/14364.