GCF of 4564/106, 1059/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4564/106, 1059/705 i.e 1/74730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4564/106, 1059/705.
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 4564/106,1059/705?
Given fractions are 4564/106,1059/705
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 4564/106,1059/705, numerators are 4564,1059
Denominators are 106,705
The GCF of 4564,1059 is 1 .
LCM of 106,705 is 74730.
The greatest common factor of 4564/106,1059/705 = [GCF of 4564,1059]/[LCM of 106,705]= 1/74730
Therefore, the GCF of 4564/106,1059/705 is 1/74730.
To find the highest common factor of 4564,1059, we have to find the factors of both numbers and list the highest common factor.
The factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564
The factors of 1059 are 1, 3, 353, 1059
The HCF of 4564,1059 is 1.
Lets's calculate GCF of 4564,1059
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4564,1059 By Matching Biggest Common Factor Method
Now, list down the factors of 4564
:1,2,4,7,14,28,163,326,652,1141,2282,4564
Now, list down the factors of 1059
:1,3,353,1059
Greatest Common Factor
We found the factors 4564,1059 . The biggest common factor number is the GCF number.
So the greatest common factor 4564,1059 is 1.
Lets's calculate LCM of 106,705
Given numbers has no common factors except 1. So, there LCM is their product i.e 74730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74730
Therefore, the GCF of Fractions 4564/106,1059/705 is 1/74730
Least Common Multiple of 106,705 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 106,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,705) x common factors =1 x 1 = 1
LCM(106,705) = ( 106 × 705 ) / 1
LCM(106,705) = 74730 / 1
LCM(106,705) = 74730
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FAQs on GCF of Fractions of 4564/106, 1059/705
1. What is the HCF of 4564,1059?
The HCF of 4564,1059 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 4564/106, 1059/705?
Answer: GCF of Numerators as per given numbers 4564/106, 1059/705 is
GCF of Numerators i.e. for 4564,1059 is 1
LCM of denominators i.e. for 106,705 is 74730.
Thus, GCF of Fractions is 1/74730.Finally, GCF of Fractions for 4564/106, 1059/705 is 1/74730.