GCF of 6385/867, 4928/8538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6385/867, 4928/8538 i.e 1/2467482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6385/867, 4928/8538.
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 6385/867,4928/8538?
Given fractions are 6385/867,4928/8538
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 6385/867,4928/8538, numerators are 6385,4928
Denominators are 867,8538
The GCF of 6385,4928 is 1 .
LCM of 867,8538 is 2467482.
The greatest common factor of 6385/867,4928/8538 = [GCF of 6385,4928]/[LCM of 867,8538]= 1/2467482
Therefore, the GCF of 6385/867,4928/8538 is 1/2467482.
To find the highest common factor of 6385,4928, we have to find the factors of both numbers and list the highest common factor.
The factors of 6385 are 1, 5, 1277, 6385
The factors of 4928 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928
The HCF of 6385,4928 is 1.
Lets's calculate GCF of 6385,4928
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6385,4928 By Matching Biggest Common Factor Method
Now, list down the factors of 6385
:1,5,1277,6385
Now, list down the factors of 4928
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,154,176,224,308,352,448,616,704,1232,2464,4928
Greatest Common Factor
We found the factors 6385,4928 . The biggest common factor number is the GCF number.
So the greatest common factor 6385,4928 is 1.
Lets's calculate LCM of 867,8538
| 3 | 867, 8538 |
| 289, 2846 |
∴ So the LCM of the given numbers is 3 x 289 x 2846 = 2467482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2467482
Therefore, the GCF of Fractions 6385/867,4928/8538 is 1/2467482
Least Common Multiple of 867,8538 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 867,8538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,8538) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,8538) x common factors =3 x 1 = 3
LCM(867,8538) = ( 867 × 8538 ) / 3
LCM(867,8538) = 7402446 / 3
LCM(867,8538) = 2467482
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FAQs on GCF of Fractions of 6385/867, 4928/8538
1. What is the HCF of 6385,4928?
The HCF of 6385,4928 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 6385/867, 4928/8538?
Answer: GCF of Numerators as per given numbers 6385/867, 4928/8538 is
GCF of Numerators i.e. for 6385,4928 is 1
LCM of denominators i.e. for 867,8538 is 2467482.
Thus, GCF of Fractions is 1/2467482.Finally, GCF of Fractions for 6385/867, 4928/8538 is 1/2467482.