GCF of 1685/437, 7854/5236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1685/437, 7854/5236 i.e 1/2288132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1685/437, 7854/5236.
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 1685/437,7854/5236?
Given fractions are 1685/437,7854/5236
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 1685/437,7854/5236, numerators are 1685,7854
Denominators are 437,5236
The GCF of 1685,7854 is 1 .
LCM of 437,5236 is 2288132.
The greatest common factor of 1685/437,7854/5236 = [GCF of 1685,7854]/[LCM of 437,5236]= 1/2288132
Therefore, the GCF of 1685/437,7854/5236 is 1/2288132.
To find the highest common factor of 1685,7854, we have to find the factors of both numbers and list the highest common factor.
The factors of 1685 are 1, 5, 337, 1685
The factors of 7854 are 1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 51, 66, 77, 102, 119, 154, 187, 231, 238, 357, 374, 462, 561, 714, 1122, 1309, 2618, 3927, 7854
The HCF of 1685,7854 is 1.
Lets's calculate GCF of 1685,7854
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1685,7854 By Matching Biggest Common Factor Method
Now, list down the factors of 1685
:1,5,337,1685
Now, list down the factors of 7854
:1,2,3,6,7,11,14,17,21,22,33,34,42,51,66,77,102,119,154,187,231,238,357,374,462,561,714,1122,1309,2618,3927,7854
Greatest Common Factor
We found the factors 1685,7854 . The biggest common factor number is the GCF number.
So the greatest common factor 1685,7854 is 1.
Lets's calculate LCM of 437,5236
Given numbers has no common factors except 1. So, there LCM is their product i.e 2288132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2288132
Therefore, the GCF of Fractions 1685/437,7854/5236 is 1/2288132
Least Common Multiple of 437,5236 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 437,5236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,5236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(437,5236) x common factors =1 x 1 = 1
LCM(437,5236) = ( 437 × 5236 ) / 1
LCM(437,5236) = 2288132 / 1
LCM(437,5236) = 2288132
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FAQs on GCF of Fractions of 1685/437, 7854/5236
1. What is the HCF of 1685,7854?
The HCF of 1685,7854 is 1
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 1685/437, 7854/5236?
Answer: GCF of Numerators as per given numbers 1685/437, 7854/5236 is
GCF of Numerators i.e. for 1685,7854 is 1
LCM of denominators i.e. for 437,5236 is 2288132.
Thus, GCF of Fractions is 1/2288132.Finally, GCF of Fractions for 1685/437, 7854/5236 is 1/2288132.