GCF of 2108/926, 4557/4690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2108/926, 4557/4690 i.e 31/2171470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2108/926, 4557/4690.
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 2108/926,4557/4690?
Given fractions are 2108/926,4557/4690
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 2108/926,4557/4690, numerators are 2108,4557
Denominators are 926,4690
The GCF of 2108,4557 is 31 .
LCM of 926,4690 is 2171470.
The greatest common factor of 2108/926,4557/4690 = [GCF of 2108,4557]/[LCM of 926,4690]= 31/2171470
Therefore, the GCF of 2108/926,4557/4690 is 31/2171470.
To find the highest common factor of 2108,4557, we have to find the factors of both numbers and list the highest common factor.
The factors of 2108 are 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108
The factors of 4557 are 1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557
The HCF of 2108,4557 is 31.
Lets's calculate GCF of 2108,4557
| 31 | 2108, 4557 |
| 68, 147 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 2108,4557 By Matching Biggest Common Factor Method
Now, list down the factors of 2108
:1,2,4,17,31,34,62,68,124,527,1054,2108
Now, list down the factors of 4557
:1,3,7,21,31,49,93,147,217,651,1519,4557
Greatest Common Factor
We found the factors 2108,4557 . The biggest common factor number is the GCF number.
So the greatest common factor 2108,4557 is 31.
Lets's calculate LCM of 926,4690
| 2 | 926, 4690 |
| 463, 2345 |
∴ So the LCM of the given numbers is 2 x 463 x 2345 = 2171470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/2171470
Therefore, the GCF of Fractions 2108/926,4557/4690 is 31/2171470
Least Common Multiple of 926,4690 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 926,4690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,4690) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,4690) x common factors =2 x 1 = 2
LCM(926,4690) = ( 926 × 4690 ) / 2
LCM(926,4690) = 4342940 / 2
LCM(926,4690) = 2171470
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FAQs on GCF of Fractions of 2108/926, 4557/4690
1. What is the HCF of 2108,4557?
The HCF of 2108,4557 is 31
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 2108/926, 4557/4690?
Answer: GCF of Numerators as per given numbers 2108/926, 4557/4690 is
GCF of Numerators i.e. for 2108,4557 is 31
LCM of denominators i.e. for 926,4690 is 2171470.
Thus, GCF of Fractions is 31/2171470.Finally, GCF of Fractions for 2108/926, 4557/4690 is 31/2171470.