GCF of 570/797, 4436/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 570/797, 4436/922 i.e 2/734834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 570/797, 4436/922.
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 570/797,4436/922?
Given fractions are 570/797,4436/922
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 570/797,4436/922, numerators are 570,4436
Denominators are 797,922
The GCF of 570,4436 is 2 .
LCM of 797,922 is 734834.
The greatest common factor of 570/797,4436/922 = [GCF of 570,4436]/[LCM of 797,922]= 2/734834
Therefore, the GCF of 570/797,4436/922 is 2/734834.
To find the highest common factor of 570,4436, we have to find the factors of both numbers and list the highest common factor.
The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
The factors of 4436 are 1, 2, 4, 1109, 2218, 4436
The HCF of 570,4436 is 2.
Lets's calculate GCF of 570,4436
| 2 | 570, 4436 |
| 285, 2218 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 570,4436 By Matching Biggest Common Factor Method
Now, list down the factors of 570
:1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Now, list down the factors of 4436
:1,2,4,1109,2218,4436
Greatest Common Factor
We found the factors 570,4436 . The biggest common factor number is the GCF number.
So the greatest common factor 570,4436 is 2.
Lets's calculate LCM of 797,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 734834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/734834
Therefore, the GCF of Fractions 570/797,4436/922 is 2/734834
Least Common Multiple of 797,922 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 797,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,922) x common factors =1 x 1 = 1
LCM(797,922) = ( 797 × 922 ) / 1
LCM(797,922) = 734834 / 1
LCM(797,922) = 734834
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FAQs on GCF of Fractions of 570/797, 4436/922
1. What is the HCF of 570,4436?
The HCF of 570,4436 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 570/797, 4436/922?
Answer: GCF of Numerators as per given numbers 570/797, 4436/922 is
GCF of Numerators i.e. for 570,4436 is 2
LCM of denominators i.e. for 797,922 is 734834.
Thus, GCF of Fractions is 2/734834.Finally, GCF of Fractions for 570/797, 4436/922 is 2/734834.