GCF of 3827/266, 6382/7567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3827/266, 6382/7567 i.e 1/287546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3827/266, 6382/7567.
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 3827/266,6382/7567?
Given fractions are 3827/266,6382/7567
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 3827/266,6382/7567, numerators are 3827,6382
Denominators are 266,7567
The GCF of 3827,6382 is 1 .
LCM of 266,7567 is 287546.
The greatest common factor of 3827/266,6382/7567 = [GCF of 3827,6382]/[LCM of 266,7567]= 1/287546
Therefore, the GCF of 3827/266,6382/7567 is 1/287546.
To find the highest common factor of 3827,6382, we have to find the factors of both numbers and list the highest common factor.
The factors of 3827 are 1, 43, 89, 3827
The factors of 6382 are 1, 2, 3191, 6382
The HCF of 3827,6382 is 1.
Lets's calculate GCF of 3827,6382
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3827,6382 By Matching Biggest Common Factor Method
Now, list down the factors of 3827
:1,43,89,3827
Now, list down the factors of 6382
:1,2,3191,6382
Greatest Common Factor
We found the factors 3827,6382 . The biggest common factor number is the GCF number.
So the greatest common factor 3827,6382 is 1.
Lets's calculate LCM of 266,7567
| 7 | 266, 7567 |
| 38, 1081 |
∴ So the LCM of the given numbers is 7 x 38 x 1081 = 287546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287546
Therefore, the GCF of Fractions 3827/266,6382/7567 is 1/287546
Least Common Multiple of 266,7567 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 266,7567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,7567) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(266,7567) x common factors =7 x 1 = 7
LCM(266,7567) = ( 266 × 7567 ) / 7
LCM(266,7567) = 2012822 / 7
LCM(266,7567) = 287546
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FAQs on GCF of Fractions of 3827/266, 6382/7567
1. What is the HCF of 3827,6382?
The HCF of 3827,6382 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 3827/266, 6382/7567?
Answer: GCF of Numerators as per given numbers 3827/266, 6382/7567 is
GCF of Numerators i.e. for 3827,6382 is 1
LCM of denominators i.e. for 266,7567 is 287546.
Thus, GCF of Fractions is 1/287546.Finally, GCF of Fractions for 3827/266, 6382/7567 is 1/287546.