GCF of 4343/975, 2758/8465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4343/975, 2758/8465 i.e 1/1650675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4343/975, 2758/8465.
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 4343/975,2758/8465?
Given fractions are 4343/975,2758/8465
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 4343/975,2758/8465, numerators are 4343,2758
Denominators are 975,8465
The GCF of 4343,2758 is 1 .
LCM of 975,8465 is 1650675.
The greatest common factor of 4343/975,2758/8465 = [GCF of 4343,2758]/[LCM of 975,8465]= 1/1650675
Therefore, the GCF of 4343/975,2758/8465 is 1/1650675.
To find the highest common factor of 4343,2758, we have to find the factors of both numbers and list the highest common factor.
The factors of 4343 are 1, 43, 101, 4343
The factors of 2758 are 1, 2, 7, 14, 197, 394, 1379, 2758
The HCF of 4343,2758 is 1.
Lets's calculate GCF of 4343,2758
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4343,2758 By Matching Biggest Common Factor Method
Now, list down the factors of 4343
:1,43,101,4343
Now, list down the factors of 2758
:1,2,7,14,197,394,1379,2758
Greatest Common Factor
We found the factors 4343,2758 . The biggest common factor number is the GCF number.
So the greatest common factor 4343,2758 is 1.
Lets's calculate LCM of 975,8465
| 5 | 975, 8465 |
| 195, 1693 |
∴ So the LCM of the given numbers is 5 x 195 x 1693 = 1650675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1650675
Therefore, the GCF of Fractions 4343/975,2758/8465 is 1/1650675
Least Common Multiple of 975,8465 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 975,8465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,8465) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(975,8465) x common factors =5 x 1 = 5
LCM(975,8465) = ( 975 × 8465 ) / 5
LCM(975,8465) = 8253375 / 5
LCM(975,8465) = 1650675
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4343/975, 2758/8465
1. What is the HCF of 4343,2758?
The HCF of 4343,2758 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 4343/975, 2758/8465?
Answer: GCF of Numerators as per given numbers 4343/975, 2758/8465 is
GCF of Numerators i.e. for 4343,2758 is 1
LCM of denominators i.e. for 975,8465 is 1650675.
Thus, GCF of Fractions is 1/1650675.Finally, GCF of Fractions for 4343/975, 2758/8465 is 1/1650675.