GCF of 2852/802, 1340/3743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2852/802, 1340/3743 i.e 4/3001886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2852/802, 1340/3743.
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 2852/802,1340/3743?
Given fractions are 2852/802,1340/3743
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 2852/802,1340/3743, numerators are 2852,1340
Denominators are 802,3743
The GCF of 2852,1340 is 4 .
LCM of 802,3743 is 3001886.
The greatest common factor of 2852/802,1340/3743 = [GCF of 2852,1340]/[LCM of 802,3743]= 4/3001886
Therefore, the GCF of 2852/802,1340/3743 is 4/3001886.
To find the highest common factor of 2852,1340, we have to find the factors of both numbers and list the highest common factor.
The factors of 2852 are 1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426, 2852
The factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340
The HCF of 2852,1340 is 4.
Lets's calculate GCF of 2852,1340
| 2 | 2852, 1340 |
| 2 | 1426, 670 |
| 713, 335 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2852,1340 By Matching Biggest Common Factor Method
Now, list down the factors of 2852
:1,2,4,23,31,46,62,92,124,713,1426,2852
Now, list down the factors of 1340
:1,2,4,5,10,20,67,134,268,335,670,1340
Greatest Common Factor
We found the factors 2852,1340 . The biggest common factor number is the GCF number.
So the greatest common factor 2852,1340 is 4.
Lets's calculate LCM of 802,3743
Given numbers has no common factors except 1. So, there LCM is their product i.e 3001886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3001886
Therefore, the GCF of Fractions 2852/802,1340/3743 is 4/3001886
Least Common Multiple of 802,3743 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 802,3743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,3743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,3743) x common factors =1 x 1 = 1
LCM(802,3743) = ( 802 × 3743 ) / 1
LCM(802,3743) = 3001886 / 1
LCM(802,3743) = 3001886
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FAQs on GCF of Fractions of 2852/802, 1340/3743
1. What is the HCF of 2852,1340?
The HCF of 2852,1340 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 2852/802, 1340/3743?
Answer: GCF of Numerators as per given numbers 2852/802, 1340/3743 is
GCF of Numerators i.e. for 2852,1340 is 4
LCM of denominators i.e. for 802,3743 is 3001886.
Thus, GCF of Fractions is 4/3001886.Finally, GCF of Fractions for 2852/802, 1340/3743 is 4/3001886.