GCF of 3982/564, 6525/2176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3982/564, 6525/2176 i.e 1/306816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3982/564, 6525/2176.
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 3982/564,6525/2176?
Given fractions are 3982/564,6525/2176
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 3982/564,6525/2176, numerators are 3982,6525
Denominators are 564,2176
The GCF of 3982,6525 is 1 .
LCM of 564,2176 is 306816.
The greatest common factor of 3982/564,6525/2176 = [GCF of 3982,6525]/[LCM of 564,2176]= 1/306816
Therefore, the GCF of 3982/564,6525/2176 is 1/306816.
To find the highest common factor of 3982,6525, we have to find the factors of both numbers and list the highest common factor.
The factors of 3982 are 1, 2, 11, 22, 181, 362, 1991, 3982
The factors of 6525 are 1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 145, 225, 261, 435, 725, 1305, 2175, 6525
The HCF of 3982,6525 is 1.
Lets's calculate GCF of 3982,6525
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3982,6525 By Matching Biggest Common Factor Method
Now, list down the factors of 3982
:1,2,11,22,181,362,1991,3982
Now, list down the factors of 6525
:1,3,5,9,15,25,29,45,75,87,145,225,261,435,725,1305,2175,6525
Greatest Common Factor
We found the factors 3982,6525 . The biggest common factor number is the GCF number.
So the greatest common factor 3982,6525 is 1.
Lets's calculate LCM of 564,2176
| 2 | 564, 2176 |
| 2 | 282, 1088 |
| 141, 544 |
∴ So the LCM of the given numbers is 2 x 2 x 141 x 544 = 306816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306816
Therefore, the GCF of Fractions 3982/564,6525/2176 is 1/306816
Least Common Multiple of 564,2176 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 564,2176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,2176) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(564,2176) x common factors =4 x 1 = 4
LCM(564,2176) = ( 564 × 2176 ) / 4
LCM(564,2176) = 1227264 / 4
LCM(564,2176) = 306816
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FAQs on GCF of Fractions of 3982/564, 6525/2176
1. What is the HCF of 3982,6525?
The HCF of 3982,6525 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 3982/564, 6525/2176?
Answer: GCF of Numerators as per given numbers 3982/564, 6525/2176 is
GCF of Numerators i.e. for 3982,6525 is 1
LCM of denominators i.e. for 564,2176 is 306816.
Thus, GCF of Fractions is 1/306816.Finally, GCF of Fractions for 3982/564, 6525/2176 is 1/306816.