GCF of 4345/564, 5982/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4345/564, 5982/219 i.e 1/41172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4345/564, 5982/219.
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 4345/564,5982/219?
Given fractions are 4345/564,5982/219
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 4345/564,5982/219, numerators are 4345,5982
Denominators are 564,219
The GCF of 4345,5982 is 1 .
LCM of 564,219 is 41172.
The greatest common factor of 4345/564,5982/219 = [GCF of 4345,5982]/[LCM of 564,219]= 1/41172
Therefore, the GCF of 4345/564,5982/219 is 1/41172.
To find the highest common factor of 4345,5982, we have to find the factors of both numbers and list the highest common factor.
The factors of 4345 are 1, 5, 11, 55, 79, 395, 869, 4345
The factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982
The HCF of 4345,5982 is 1.
Lets's calculate GCF of 4345,5982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4345,5982 By Matching Biggest Common Factor Method
Now, list down the factors of 4345
:1,5,11,55,79,395,869,4345
Now, list down the factors of 5982
:1,2,3,6,997,1994,2991,5982
Greatest Common Factor
We found the factors 4345,5982 . The biggest common factor number is the GCF number.
So the greatest common factor 4345,5982 is 1.
Lets's calculate LCM of 564,219
| 3 | 564, 219 |
| 188, 73 |
∴ So the LCM of the given numbers is 3 x 188 x 73 = 41172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41172
Therefore, the GCF of Fractions 4345/564,5982/219 is 1/41172
Least Common Multiple of 564,219 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 564,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,219) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(564,219) x common factors =3 x 1 = 3
LCM(564,219) = ( 564 × 219 ) / 3
LCM(564,219) = 123516 / 3
LCM(564,219) = 41172
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FAQs on GCF of Fractions of 4345/564, 5982/219
1. What is the HCF of 4345,5982?
The HCF of 4345,5982 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 4345/564, 5982/219?
Answer: GCF of Numerators as per given numbers 4345/564, 5982/219 is
GCF of Numerators i.e. for 4345,5982 is 1
LCM of denominators i.e. for 564,219 is 41172.
Thus, GCF of Fractions is 1/41172.Finally, GCF of Fractions for 4345/564, 5982/219 is 1/41172.