GCF of 1478/810, 3662/3676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1478/810, 3662/3676 i.e 2/1488780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1478/810, 3662/3676.
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 1478/810,3662/3676?
Given fractions are 1478/810,3662/3676
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 1478/810,3662/3676, numerators are 1478,3662
Denominators are 810,3676
The GCF of 1478,3662 is 2 .
LCM of 810,3676 is 1488780.
The greatest common factor of 1478/810,3662/3676 = [GCF of 1478,3662]/[LCM of 810,3676]= 2/1488780
Therefore, the GCF of 1478/810,3662/3676 is 2/1488780.
To find the highest common factor of 1478,3662, we have to find the factors of both numbers and list the highest common factor.
The factors of 1478 are 1, 2, 739, 1478
The factors of 3662 are 1, 2, 1831, 3662
The HCF of 1478,3662 is 2.
Lets's calculate GCF of 1478,3662
| 2 | 1478, 3662 |
| 739, 1831 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1478,3662 By Matching Biggest Common Factor Method
Now, list down the factors of 1478
:1,2,739,1478
Now, list down the factors of 3662
:1,2,1831,3662
Greatest Common Factor
We found the factors 1478,3662 . The biggest common factor number is the GCF number.
So the greatest common factor 1478,3662 is 2.
Lets's calculate LCM of 810,3676
| 2 | 810, 3676 |
| 405, 1838 |
∴ So the LCM of the given numbers is 2 x 405 x 1838 = 1488780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1488780
Therefore, the GCF of Fractions 1478/810,3662/3676 is 2/1488780
Least Common Multiple of 810,3676 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 810,3676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,3676) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(810,3676) x common factors =2 x 1 = 2
LCM(810,3676) = ( 810 × 3676 ) / 2
LCM(810,3676) = 2977560 / 2
LCM(810,3676) = 1488780
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FAQs on GCF of Fractions of 1478/810, 3662/3676
1. What is the HCF of 1478,3662?
The HCF of 1478,3662 is 2
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 1478/810, 3662/3676?
Answer: GCF of Numerators as per given numbers 1478/810, 3662/3676 is
GCF of Numerators i.e. for 1478,3662 is 2
LCM of denominators i.e. for 810,3676 is 1488780.
Thus, GCF of Fractions is 2/1488780.Finally, GCF of Fractions for 1478/810, 3662/3676 is 2/1488780.