GCF of 506/326, 2834/957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 506/326, 2834/957 i.e 2/311982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 506/326, 2834/957.
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 506/326,2834/957?
Given fractions are 506/326,2834/957
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 506/326,2834/957, numerators are 506,2834
Denominators are 326,957
The GCF of 506,2834 is 2 .
LCM of 326,957 is 311982.
The greatest common factor of 506/326,2834/957 = [GCF of 506,2834]/[LCM of 326,957]= 2/311982
Therefore, the GCF of 506/326,2834/957 is 2/311982.
To find the highest common factor of 506,2834, we have to find the factors of both numbers and list the highest common factor.
The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506
The factors of 2834 are 1, 2, 13, 26, 109, 218, 1417, 2834
The HCF of 506,2834 is 2.
Lets's calculate GCF of 506,2834
| 2 | 506, 2834 |
| 253, 1417 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 506,2834 By Matching Biggest Common Factor Method
Now, list down the factors of 506
:1,2,11,22,23,46,253,506
Now, list down the factors of 2834
:1,2,13,26,109,218,1417,2834
Greatest Common Factor
We found the factors 506,2834 . The biggest common factor number is the GCF number.
So the greatest common factor 506,2834 is 2.
Lets's calculate LCM of 326,957
Given numbers has no common factors except 1. So, there LCM is their product i.e 311982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/311982
Therefore, the GCF of Fractions 506/326,2834/957 is 2/311982
Least Common Multiple of 326,957 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 326,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(326,957) x common factors =1 x 1 = 1
LCM(326,957) = ( 326 × 957 ) / 1
LCM(326,957) = 311982 / 1
LCM(326,957) = 311982
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FAQs on GCF of Fractions of 506/326, 2834/957
1. What is the HCF of 506,2834?
The HCF of 506,2834 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 506/326, 2834/957?
Answer: GCF of Numerators as per given numbers 506/326, 2834/957 is
GCF of Numerators i.e. for 506,2834 is 2
LCM of denominators i.e. for 326,957 is 311982.
Thus, GCF of Fractions is 2/311982.Finally, GCF of Fractions for 506/326, 2834/957 is 2/311982.