GCF of 1854/40, 8502/534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1854/40, 8502/534 i.e 6/10680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1854/40, 8502/534.
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 1854/40,8502/534?
Given fractions are 1854/40,8502/534
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 1854/40,8502/534, numerators are 1854,8502
Denominators are 40,534
The GCF of 1854,8502 is 6 .
LCM of 40,534 is 10680.
The greatest common factor of 1854/40,8502/534 = [GCF of 1854,8502]/[LCM of 40,534]= 6/10680
Therefore, the GCF of 1854/40,8502/534 is 6/10680.
To find the highest common factor of 1854,8502, we have to find the factors of both numbers and list the highest common factor.
The factors of 1854 are 1, 2, 3, 6, 9, 18, 103, 206, 309, 618, 927, 1854
The factors of 8502 are 1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502
The HCF of 1854,8502 is 6.
Lets's calculate GCF of 1854,8502
| 2 | 1854, 8502 |
| 3 | 927, 4251 |
| 309, 1417 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1854,8502 By Matching Biggest Common Factor Method
Now, list down the factors of 1854
:1,2,3,6,9,18,103,206,309,618,927,1854
Now, list down the factors of 8502
:1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502
Greatest Common Factor
We found the factors 1854,8502 . The biggest common factor number is the GCF number.
So the greatest common factor 1854,8502 is 6.
Lets's calculate LCM of 40,534
| 2 | 40, 534 |
| 20, 267 |
∴ So the LCM of the given numbers is 2 x 20 x 267 = 10680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10680
Therefore, the GCF of Fractions 1854/40,8502/534 is 6/10680
Least Common Multiple of 40,534 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 40,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(40,534) x common factors =2 x 1 = 2
LCM(40,534) = ( 40 × 534 ) / 2
LCM(40,534) = 21360 / 2
LCM(40,534) = 10680
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FAQs on GCF of Fractions of 1854/40, 8502/534
1. What is the HCF of 1854,8502?
The HCF of 1854,8502 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 1854/40, 8502/534?
Answer: GCF of Numerators as per given numbers 1854/40, 8502/534 is
GCF of Numerators i.e. for 1854,8502 is 6
LCM of denominators i.e. for 40,534 is 10680.
Thus, GCF of Fractions is 6/10680.Finally, GCF of Fractions for 1854/40, 8502/534 is 6/10680.