GCF of 2476/802, 1470/4358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2476/802, 1470/4358 i.e 2/1747558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2476/802, 1470/4358.
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 2476/802,1470/4358?
Given fractions are 2476/802,1470/4358
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 2476/802,1470/4358, numerators are 2476,1470
Denominators are 802,4358
The GCF of 2476,1470 is 2 .
LCM of 802,4358 is 1747558.
The greatest common factor of 2476/802,1470/4358 = [GCF of 2476,1470]/[LCM of 802,4358]= 2/1747558
Therefore, the GCF of 2476/802,1470/4358 is 2/1747558.
To find the highest common factor of 2476,1470, we have to find the factors of both numbers and list the highest common factor.
The factors of 2476 are 1, 2, 4, 619, 1238, 2476
The factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470
The HCF of 2476,1470 is 2.
Lets's calculate GCF of 2476,1470
| 2 | 2476, 1470 |
| 1238, 735 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2476,1470 By Matching Biggest Common Factor Method
Now, list down the factors of 2476
:1,2,4,619,1238,2476
Now, list down the factors of 1470
:1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470
Greatest Common Factor
We found the factors 2476,1470 . The biggest common factor number is the GCF number.
So the greatest common factor 2476,1470 is 2.
Lets's calculate LCM of 802,4358
| 2 | 802, 4358 |
| 401, 2179 |
∴ So the LCM of the given numbers is 2 x 401 x 2179 = 1747558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1747558
Therefore, the GCF of Fractions 2476/802,1470/4358 is 2/1747558
Least Common Multiple of 802,4358 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 802,4358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,4358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,4358) x common factors =2 x 1 = 2
LCM(802,4358) = ( 802 × 4358 ) / 2
LCM(802,4358) = 3495116 / 2
LCM(802,4358) = 1747558
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FAQs on GCF of Fractions of 2476/802, 1470/4358
1. What is the HCF of 2476,1470?
The HCF of 2476,1470 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 2476/802, 1470/4358?
Answer: GCF of Numerators as per given numbers 2476/802, 1470/4358 is
GCF of Numerators i.e. for 2476,1470 is 2
LCM of denominators i.e. for 802,4358 is 1747558.
Thus, GCF of Fractions is 2/1747558.Finally, GCF of Fractions for 2476/802, 1470/4358 is 2/1747558.