GCF of 5668/708, 4606/8703
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5668/708, 4606/8703 i.e 2/2053908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5668/708, 4606/8703.
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 5668/708,4606/8703?
Given fractions are 5668/708,4606/8703
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 5668/708,4606/8703, numerators are 5668,4606
Denominators are 708,8703
The GCF of 5668,4606 is 2 .
LCM of 708,8703 is 2053908.
The greatest common factor of 5668/708,4606/8703 = [GCF of 5668,4606]/[LCM of 708,8703]= 2/2053908
Therefore, the GCF of 5668/708,4606/8703 is 2/2053908.
To find the highest common factor of 5668,4606, 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 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606
The HCF of 5668,4606 is 2.
Lets's calculate GCF of 5668,4606
| 2 | 5668, 4606 |
| 2834, 2303 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5668,4606 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 4606
:1,2,7,14,47,49,94,98,329,658,2303,4606
Greatest Common Factor
We found the factors 5668,4606 . The biggest common factor number is the GCF number.
So the greatest common factor 5668,4606 is 2.
Lets's calculate LCM of 708,8703
| 3 | 708, 8703 |
| 236, 2901 |
∴ So the LCM of the given numbers is 3 x 236 x 2901 = 2053908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2053908
Therefore, the GCF of Fractions 5668/708,4606/8703 is 2/2053908
Least Common Multiple of 708,8703 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 708,8703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,8703) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(708,8703) x common factors =3 x 1 = 3
LCM(708,8703) = ( 708 × 8703 ) / 3
LCM(708,8703) = 6161724 / 3
LCM(708,8703) = 2053908
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FAQs on GCF of Fractions of 5668/708, 4606/8703
1. What is the HCF of 5668,4606?
The HCF of 5668,4606 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 5668/708, 4606/8703?
Answer: GCF of Numerators as per given numbers 5668/708, 4606/8703 is
GCF of Numerators i.e. for 5668,4606 is 2
LCM of denominators i.e. for 708,8703 is 2053908.
Thus, GCF of Fractions is 2/2053908.Finally, GCF of Fractions for 5668/708, 4606/8703 is 2/2053908.