GCF of 3956/827, 4869/8523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3956/827, 4869/8523 i.e 1/7048521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3956/827, 4869/8523.
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 3956/827,4869/8523?
Given fractions are 3956/827,4869/8523
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 3956/827,4869/8523, numerators are 3956,4869
Denominators are 827,8523
The GCF of 3956,4869 is 1 .
LCM of 827,8523 is 7048521.
The greatest common factor of 3956/827,4869/8523 = [GCF of 3956,4869]/[LCM of 827,8523]= 1/7048521
Therefore, the GCF of 3956/827,4869/8523 is 1/7048521.
To find the highest common factor of 3956,4869, we have to find the factors of both numbers and list the highest common factor.
The factors of 3956 are 1, 2, 4, 23, 43, 46, 86, 92, 172, 989, 1978, 3956
The factors of 4869 are 1, 3, 9, 541, 1623, 4869
The HCF of 3956,4869 is 1.
Lets's calculate GCF of 3956,4869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3956,4869 By Matching Biggest Common Factor Method
Now, list down the factors of 3956
:1,2,4,23,43,46,86,92,172,989,1978,3956
Now, list down the factors of 4869
:1,3,9,541,1623,4869
Greatest Common Factor
We found the factors 3956,4869 . The biggest common factor number is the GCF number.
So the greatest common factor 3956,4869 is 1.
Lets's calculate LCM of 827,8523
Given numbers has no common factors except 1. So, there LCM is their product i.e 7048521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7048521
Therefore, the GCF of Fractions 3956/827,4869/8523 is 1/7048521
Least Common Multiple of 827,8523 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 827,8523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,8523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,8523) x common factors =1 x 1 = 1
LCM(827,8523) = ( 827 × 8523 ) / 1
LCM(827,8523) = 7048521 / 1
LCM(827,8523) = 7048521
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3956/827, 4869/8523
1. What is the HCF of 3956,4869?
The HCF of 3956,4869 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 3956/827, 4869/8523?
Answer: GCF of Numerators as per given numbers 3956/827, 4869/8523 is
GCF of Numerators i.e. for 3956,4869 is 1
LCM of denominators i.e. for 827,8523 is 7048521.
Thus, GCF of Fractions is 1/7048521.Finally, GCF of Fractions for 3956/827, 4869/8523 is 1/7048521.