GCF of 4696/810, 1480/3906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4696/810, 1480/3906 i.e 8/175770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4696/810, 1480/3906.
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 4696/810,1480/3906?
Given fractions are 4696/810,1480/3906
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 4696/810,1480/3906, numerators are 4696,1480
Denominators are 810,3906
The GCF of 4696,1480 is 8 .
LCM of 810,3906 is 175770.
The greatest common factor of 4696/810,1480/3906 = [GCF of 4696,1480]/[LCM of 810,3906]= 8/175770
Therefore, the GCF of 4696/810,1480/3906 is 8/175770.
To find the highest common factor of 4696,1480, we have to find the factors of both numbers and list the highest common factor.
The factors of 4696 are 1, 2, 4, 8, 587, 1174, 2348, 4696
The factors of 1480 are 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
The HCF of 4696,1480 is 8.
Lets's calculate GCF of 4696,1480
| 2 | 4696, 1480 |
| 2 | 2348, 740 |
| 2 | 1174, 370 |
| 587, 185 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4696,1480 By Matching Biggest Common Factor Method
Now, list down the factors of 4696
:1,2,4,8,587,1174,2348,4696
Now, list down the factors of 1480
:1,2,4,5,8,10,20,37,40,74,148,185,296,370,740,1480
Greatest Common Factor
We found the factors 4696,1480 . The biggest common factor number is the GCF number.
So the greatest common factor 4696,1480 is 8.
Lets's calculate LCM of 810,3906
| 2 | 810, 3906 |
| 3 | 405, 1953 |
| 3 | 135, 651 |
| 45, 217 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 45 x 217 = 175770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/175770
Therefore, the GCF of Fractions 4696/810,1480/3906 is 8/175770
Least Common Multiple of 810,3906 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 810,3906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,3906) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(810,3906) x common factors =18 x 1 = 18
LCM(810,3906) = ( 810 × 3906 ) / 18
LCM(810,3906) = 3163860 / 18
LCM(810,3906) = 175770
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FAQs on GCF of Fractions of 4696/810, 1480/3906
1. What is the HCF of 4696,1480?
The HCF of 4696,1480 is 8
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 4696/810, 1480/3906?
Answer: GCF of Numerators as per given numbers 4696/810, 1480/3906 is
GCF of Numerators i.e. for 4696,1480 is 8
LCM of denominators i.e. for 810,3906 is 175770.
Thus, GCF of Fractions is 8/175770.Finally, GCF of Fractions for 4696/810, 1480/3906 is 8/175770.