GCF of 7613/276, 5358/2052
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7613/276, 5358/2052 i.e 1/47196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7613/276, 5358/2052.
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 7613/276,5358/2052?
Given fractions are 7613/276,5358/2052
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 7613/276,5358/2052, numerators are 7613,5358
Denominators are 276,2052
The GCF of 7613,5358 is 1 .
LCM of 276,2052 is 47196.
The greatest common factor of 7613/276,5358/2052 = [GCF of 7613,5358]/[LCM of 276,2052]= 1/47196
Therefore, the GCF of 7613/276,5358/2052 is 1/47196.
To find the highest common factor of 7613,5358, we have to find the factors of both numbers and list the highest common factor.
The factors of 7613 are 1, 23, 331, 7613
The factors of 5358 are 1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358
The HCF of 7613,5358 is 1.
Lets's calculate GCF of 7613,5358
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7613,5358 By Matching Biggest Common Factor Method
Now, list down the factors of 7613
:1,23,331,7613
Now, list down the factors of 5358
:1,2,3,6,19,38,47,57,94,114,141,282,893,1786,2679,5358
Greatest Common Factor
We found the factors 7613,5358 . The biggest common factor number is the GCF number.
So the greatest common factor 7613,5358 is 1.
Lets's calculate LCM of 276,2052
| 2 | 276, 2052 |
| 2 | 138, 1026 |
| 3 | 69, 513 |
| 23, 171 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 171 = 47196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47196
Therefore, the GCF of Fractions 7613/276,5358/2052 is 1/47196
Least Common Multiple of 276,2052 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 276,2052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,2052) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(276,2052) x common factors =12 x 1 = 12
LCM(276,2052) = ( 276 × 2052 ) / 12
LCM(276,2052) = 566352 / 12
LCM(276,2052) = 47196
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FAQs on GCF of Fractions of 7613/276, 5358/2052
1. What is the HCF of 7613,5358?
The HCF of 7613,5358 is 1
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 7613/276, 5358/2052?
Answer: GCF of Numerators as per given numbers 7613/276, 5358/2052 is
GCF of Numerators i.e. for 7613,5358 is 1
LCM of denominators i.e. for 276,2052 is 47196.
Thus, GCF of Fractions is 1/47196.Finally, GCF of Fractions for 7613/276, 5358/2052 is 1/47196.