GCF of 1959/564, 4682/8634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1959/564, 4682/8634 i.e 1/811596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1959/564, 4682/8634.
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 1959/564,4682/8634?
Given fractions are 1959/564,4682/8634
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 1959/564,4682/8634, numerators are 1959,4682
Denominators are 564,8634
The GCF of 1959,4682 is 1 .
LCM of 564,8634 is 811596.
The greatest common factor of 1959/564,4682/8634 = [GCF of 1959,4682]/[LCM of 564,8634]= 1/811596
Therefore, the GCF of 1959/564,4682/8634 is 1/811596.
To find the highest common factor of 1959,4682, we have to find the factors of both numbers and list the highest common factor.
The factors of 1959 are 1, 3, 653, 1959
The factors of 4682 are 1, 2, 2341, 4682
The HCF of 1959,4682 is 1.
Lets's calculate GCF of 1959,4682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1959,4682 By Matching Biggest Common Factor Method
Now, list down the factors of 1959
:1,3,653,1959
Now, list down the factors of 4682
:1,2,2341,4682
Greatest Common Factor
We found the factors 1959,4682 . The biggest common factor number is the GCF number.
So the greatest common factor 1959,4682 is 1.
Lets's calculate LCM of 564,8634
| 2 | 564, 8634 |
| 3 | 282, 4317 |
| 94, 1439 |
∴ So the LCM of the given numbers is 2 x 3 x 94 x 1439 = 811596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/811596
Therefore, the GCF of Fractions 1959/564,4682/8634 is 1/811596
Least Common Multiple of 564,8634 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 564,8634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,8634) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(564,8634) x common factors =6 x 1 = 6
LCM(564,8634) = ( 564 × 8634 ) / 6
LCM(564,8634) = 4869576 / 6
LCM(564,8634) = 811596
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FAQs on GCF of Fractions of 1959/564, 4682/8634
1. What is the HCF of 1959,4682?
The HCF of 1959,4682 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 1959/564, 4682/8634?
Answer: GCF of Numerators as per given numbers 1959/564, 4682/8634 is
GCF of Numerators i.e. for 1959,4682 is 1
LCM of denominators i.e. for 564,8634 is 811596.
Thus, GCF of Fractions is 1/811596.Finally, GCF of Fractions for 1959/564, 4682/8634 is 1/811596.