GCF of 2608/742, 5524/2093
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2608/742, 5524/2093 i.e 4/221858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2608/742, 5524/2093.
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 2608/742,5524/2093?
Given fractions are 2608/742,5524/2093
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 2608/742,5524/2093, numerators are 2608,5524
Denominators are 742,2093
The GCF of 2608,5524 is 4 .
LCM of 742,2093 is 221858.
The greatest common factor of 2608/742,5524/2093 = [GCF of 2608,5524]/[LCM of 742,2093]= 4/221858
Therefore, the GCF of 2608/742,5524/2093 is 4/221858.
To find the highest common factor of 2608,5524, we have to find the factors of both numbers and list the highest common factor.
The factors of 2608 are 1, 2, 4, 8, 16, 163, 326, 652, 1304, 2608
The factors of 5524 are 1, 2, 4, 1381, 2762, 5524
The HCF of 2608,5524 is 4.
Lets's calculate GCF of 2608,5524
| 2 | 2608, 5524 |
| 2 | 1304, 2762 |
| 652, 1381 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2608,5524 By Matching Biggest Common Factor Method
Now, list down the factors of 2608
:1,2,4,8,16,163,326,652,1304,2608
Now, list down the factors of 5524
:1,2,4,1381,2762,5524
Greatest Common Factor
We found the factors 2608,5524 . The biggest common factor number is the GCF number.
So the greatest common factor 2608,5524 is 4.
Lets's calculate LCM of 742,2093
| 7 | 742, 2093 |
| 106, 299 |
∴ So the LCM of the given numbers is 7 x 106 x 299 = 221858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/221858
Therefore, the GCF of Fractions 2608/742,5524/2093 is 4/221858
Least Common Multiple of 742,2093 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 742,2093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,2093) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(742,2093) x common factors =7 x 1 = 7
LCM(742,2093) = ( 742 × 2093 ) / 7
LCM(742,2093) = 1553006 / 7
LCM(742,2093) = 221858
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FAQs on GCF of Fractions of 2608/742, 5524/2093
1. What is the HCF of 2608,5524?
The HCF of 2608,5524 is 4
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 2608/742, 5524/2093?
Answer: GCF of Numerators as per given numbers 2608/742, 5524/2093 is
GCF of Numerators i.e. for 2608,5524 is 4
LCM of denominators i.e. for 742,2093 is 221858.
Thus, GCF of Fractions is 4/221858.Finally, GCF of Fractions for 2608/742, 5524/2093 is 4/221858.