GCF of 3121/852, 8488/5464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3121/852, 8488/5464 i.e 1/1163832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3121/852, 8488/5464.
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 3121/852,8488/5464?
Given fractions are 3121/852,8488/5464
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 3121/852,8488/5464, numerators are 3121,8488
Denominators are 852,5464
The GCF of 3121,8488 is 1 .
LCM of 852,5464 is 1163832.
The greatest common factor of 3121/852,8488/5464 = [GCF of 3121,8488]/[LCM of 852,5464]= 1/1163832
Therefore, the GCF of 3121/852,8488/5464 is 1/1163832.
To find the highest common factor of 3121,8488, we have to find the factors of both numbers and list the highest common factor.
The factors of 3121 are 1, 3121
The factors of 8488 are 1, 2, 4, 8, 1061, 2122, 4244, 8488
The HCF of 3121,8488 is 1.
Lets's calculate GCF of 3121,8488
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3121,8488 By Matching Biggest Common Factor Method
Now, list down the factors of 3121
:1,3121
Now, list down the factors of 8488
:1,2,4,8,1061,2122,4244,8488
Greatest Common Factor
We found the factors 3121,8488 . The biggest common factor number is the GCF number.
So the greatest common factor 3121,8488 is 1.
Lets's calculate LCM of 852,5464
| 2 | 852, 5464 |
| 2 | 426, 2732 |
| 213, 1366 |
∴ So the LCM of the given numbers is 2 x 2 x 213 x 1366 = 1163832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1163832
Therefore, the GCF of Fractions 3121/852,8488/5464 is 1/1163832
Least Common Multiple of 852,5464 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 852,5464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,5464) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(852,5464) x common factors =4 x 1 = 4
LCM(852,5464) = ( 852 × 5464 ) / 4
LCM(852,5464) = 4655328 / 4
LCM(852,5464) = 1163832
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FAQs on GCF of Fractions of 3121/852, 8488/5464
1. What is the HCF of 3121,8488?
The HCF of 3121,8488 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 3121/852, 8488/5464?
Answer: GCF of Numerators as per given numbers 3121/852, 8488/5464 is
GCF of Numerators i.e. for 3121,8488 is 1
LCM of denominators i.e. for 852,5464 is 1163832.
Thus, GCF of Fractions is 1/1163832.Finally, GCF of Fractions for 3121/852, 8488/5464 is 1/1163832.