GCF of 342/964, 652/263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 342/964, 652/263 i.e 2/253532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 342/964, 652/263.
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 342/964,652/263?
Given fractions are 342/964,652/263
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 342/964,652/263, numerators are 342,652
Denominators are 964,263
The GCF of 342,652 is 2 .
LCM of 964,263 is 253532.
The greatest common factor of 342/964,652/263 = [GCF of 342,652]/[LCM of 964,263]= 2/253532
Therefore, the GCF of 342/964,652/263 is 2/253532.
To find the highest common factor of 342,652, we have to find the factors of both numbers and list the highest common factor.
The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The factors of 652 are 1, 2, 4, 163, 326, 652
The HCF of 342,652 is 2.
Lets's calculate GCF of 342,652
| 2 | 342, 652 |
| 171, 326 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 342,652 By Matching Biggest Common Factor Method
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Now, list down the factors of 652
:1,2,4,163,326,652
Greatest Common Factor
We found the factors 342,652 . The biggest common factor number is the GCF number.
So the greatest common factor 342,652 is 2.
Lets's calculate LCM of 964,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 253532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/253532
Therefore, the GCF of Fractions 342/964,652/263 is 2/253532
Least Common Multiple of 964,263 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 964,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,263) x common factors =1 x 1 = 1
LCM(964,263) = ( 964 × 263 ) / 1
LCM(964,263) = 253532 / 1
LCM(964,263) = 253532
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 342/964, 652/263
1. What is the HCF of 342,652?
The HCF of 342,652 is 2
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 342/964, 652/263?
Answer: GCF of Numerators as per given numbers 342/964, 652/263 is
GCF of Numerators i.e. for 342,652 is 2
LCM of denominators i.e. for 964,263 is 253532.
Thus, GCF of Fractions is 2/253532.Finally, GCF of Fractions for 342/964, 652/263 is 2/253532.