GCF of 743/84, 478/586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 743/84, 478/586 i.e 1/24612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 743/84, 478/586.
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 743/84,478/586?
Given fractions are 743/84,478/586
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 743/84,478/586, numerators are 743,478
Denominators are 84,586
The GCF of 743,478 is 1 .
LCM of 84,586 is 24612.
The greatest common factor of 743/84,478/586 = [GCF of 743,478]/[LCM of 84,586]= 1/24612
Therefore, the GCF of 743/84,478/586 is 1/24612.
To find the highest common factor of 743,478, we have to find the factors of both numbers and list the highest common factor.
The factors of 743 are 1, 743
The factors of 478 are 1, 2, 239, 478
The HCF of 743,478 is 1.
Lets's calculate GCF of 743,478
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 743,478 By Matching Biggest Common Factor Method
Now, list down the factors of 743
:1,743
Now, list down the factors of 478
:1,2,239,478
Greatest Common Factor
We found the factors 743,478 . The biggest common factor number is the GCF number.
So the greatest common factor 743,478 is 1.
Lets's calculate LCM of 84,586
| 2 | 84, 586 |
| 42, 293 |
∴ So the LCM of the given numbers is 2 x 42 x 293 = 24612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24612
Therefore, the GCF of Fractions 743/84,478/586 is 1/24612
Least Common Multiple of 84,586 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 84,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(84,586) x common factors =2 x 1 = 2
LCM(84,586) = ( 84 × 586 ) / 2
LCM(84,586) = 49224 / 2
LCM(84,586) = 24612
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FAQs on GCF of Fractions of 743/84, 478/586
1. What is the HCF of 743,478?
The HCF of 743,478 is 1
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 743/84, 478/586?
Answer: GCF of Numerators as per given numbers 743/84, 478/586 is
GCF of Numerators i.e. for 743,478 is 1
LCM of denominators i.e. for 84,586 is 24612.
Thus, GCF of Fractions is 1/24612.Finally, GCF of Fractions for 743/84, 478/586 is 1/24612.