GCF of 5668/976, 4251/9076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5668/976, 4251/9076 i.e 1417/2214544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5668/976, 4251/9076.
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 5668/976,4251/9076?
Given fractions are 5668/976,4251/9076
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 5668/976,4251/9076, numerators are 5668,4251
Denominators are 976,9076
The GCF of 5668,4251 is 1417 .
LCM of 976,9076 is 2214544.
The greatest common factor of 5668/976,4251/9076 = [GCF of 5668,4251]/[LCM of 976,9076]= 1417/2214544
Therefore, the GCF of 5668/976,4251/9076 is 1417/2214544.
To find the highest common factor of 5668,4251, we have to find the factors of both numbers and list the highest common factor.
The factors of 5668 are 1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668
The factors of 4251 are 1, 3, 13, 39, 109, 327, 1417, 4251
The HCF of 5668,4251 is 1417.
Lets's calculate GCF of 5668,4251
| 13 | 5668, 4251 |
| 109 | 436, 327 |
| 4, 3 |
∴ So the GCF of the given numbers is 13 x 109 = 1417
Greatest Common Factor of 5668,4251 By Matching Biggest Common Factor Method
Now, list down the factors of 5668
:1,2,4,13,26,52,109,218,436,1417,2834,5668
Now, list down the factors of 4251
:1,3,13,39,109,327,1417,4251
Greatest Common Factor
We found the factors 5668,4251 . The biggest common factor number is the GCF number.
So the greatest common factor 5668,4251 is 1417.
Lets's calculate LCM of 976,9076
| 2 | 976, 9076 |
| 2 | 488, 4538 |
| 244, 2269 |
∴ So the LCM of the given numbers is 2 x 2 x 244 x 2269 = 2214544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1417/2214544
Therefore, the GCF of Fractions 5668/976,4251/9076 is 1417/2214544
Least Common Multiple of 976,9076 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 976,9076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,9076) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(976,9076) x common factors =4 x 1 = 4
LCM(976,9076) = ( 976 × 9076 ) / 4
LCM(976,9076) = 8858176 / 4
LCM(976,9076) = 2214544
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FAQs on GCF of Fractions of 5668/976, 4251/9076
1. What is the HCF of 5668,4251?
The HCF of 5668,4251 is 1417
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 5668/976, 4251/9076?
Answer: GCF of Numerators as per given numbers 5668/976, 4251/9076 is
GCF of Numerators i.e. for 5668,4251 is 1417
LCM of denominators i.e. for 976,9076 is 2214544.
Thus, GCF of Fractions is 1417/2214544.Finally, GCF of Fractions for 5668/976, 4251/9076 is 1417/2214544.