GCF of 1420/731, 2840/820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1420/731, 2840/820 i.e 1420/599420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1420/731, 2840/820.
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 1420/731,2840/820?
Given fractions are 1420/731,2840/820
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 1420/731,2840/820, numerators are 1420,2840
Denominators are 731,820
The GCF of 1420,2840 is 1420 .
LCM of 731,820 is 599420.
The greatest common factor of 1420/731,2840/820 = [GCF of 1420,2840]/[LCM of 731,820]= 1420/599420
Therefore, the GCF of 1420/731,2840/820 is 1420/599420.
To find the highest common factor of 1420,2840, we have to find the factors of both numbers and list the highest common factor.
The factors of 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420
The factors of 2840 are 1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840
The HCF of 1420,2840 is 1420.
Lets's calculate GCF of 1420,2840
| 2 | 1420, 2840 |
| 2 | 710, 1420 |
| 5 | 355, 710 |
| 71 | 71, 142 |
| 1, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 71 = 1420
Greatest Common Factor of 1420,2840 By Matching Biggest Common Factor Method
Now, list down the factors of 1420
:1,2,4,5,10,20,71,142,284,355,710,1420
Now, list down the factors of 2840
:1,2,4,5,8,10,20,40,71,142,284,355,568,710,1420,2840
Greatest Common Factor
We found the factors 1420,2840 . The biggest common factor number is the GCF number.
So the greatest common factor 1420,2840 is 1420.
Lets's calculate LCM of 731,820
Given numbers has no common factors except 1. So, there LCM is their product i.e 599420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1420/599420
Therefore, the GCF of Fractions 1420/731,2840/820 is 1420/599420
Least Common Multiple of 731,820 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 731,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,820) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,820) x common factors =1 x 1 = 1
LCM(731,820) = ( 731 × 820 ) / 1
LCM(731,820) = 599420 / 1
LCM(731,820) = 599420
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FAQs on GCF of Fractions of 1420/731, 2840/820
1. What is the HCF of 1420,2840?
The HCF of 1420,2840 is 1420
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 1420/731, 2840/820?
Answer: GCF of Numerators as per given numbers 1420/731, 2840/820 is
GCF of Numerators i.e. for 1420,2840 is 1420
LCM of denominators i.e. for 731,820 is 599420.
Thus, GCF of Fractions is 1420/599420.Finally, GCF of Fractions for 1420/731, 2840/820 is 1420/599420.