GCF of 6290/974, 5732/421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6290/974, 5732/421 i.e 2/410054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6290/974, 5732/421.
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 6290/974,5732/421?
Given fractions are 6290/974,5732/421
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 6290/974,5732/421, numerators are 6290,5732
Denominators are 974,421
The GCF of 6290,5732 is 2 .
LCM of 974,421 is 410054.
The greatest common factor of 6290/974,5732/421 = [GCF of 6290,5732]/[LCM of 974,421]= 2/410054
Therefore, the GCF of 6290/974,5732/421 is 2/410054.
To find the highest common factor of 6290,5732, we have to find the factors of both numbers and list the highest common factor.
The factors of 6290 are 1, 2, 5, 10, 17, 34, 37, 74, 85, 170, 185, 370, 629, 1258, 3145, 6290
The factors of 5732 are 1, 2, 4, 1433, 2866, 5732
The HCF of 6290,5732 is 2.
Lets's calculate GCF of 6290,5732
| 2 | 6290, 5732 |
| 3145, 2866 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6290,5732 By Matching Biggest Common Factor Method
Now, list down the factors of 6290
:1,2,5,10,17,34,37,74,85,170,185,370,629,1258,3145,6290
Now, list down the factors of 5732
:1,2,4,1433,2866,5732
Greatest Common Factor
We found the factors 6290,5732 . The biggest common factor number is the GCF number.
So the greatest common factor 6290,5732 is 2.
Lets's calculate LCM of 974,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 410054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/410054
Therefore, the GCF of Fractions 6290/974,5732/421 is 2/410054
Least Common Multiple of 974,421 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 974,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,421) x common factors =1 x 1 = 1
LCM(974,421) = ( 974 × 421 ) / 1
LCM(974,421) = 410054 / 1
LCM(974,421) = 410054
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6290/974, 5732/421
1. What is the HCF of 6290,5732?
The HCF of 6290,5732 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 6290/974, 5732/421?
Answer: GCF of Numerators as per given numbers 6290/974, 5732/421 is
GCF of Numerators i.e. for 6290,5732 is 2
LCM of denominators i.e. for 974,421 is 410054.
Thus, GCF of Fractions is 2/410054.Finally, GCF of Fractions for 6290/974, 5732/421 is 2/410054.