GCF of 348/97, 117/2824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 348/97, 117/2824 i.e 3/273928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/97, 117/2824.
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 348/97,117/2824?
Given fractions are 348/97,117/2824
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 348/97,117/2824, numerators are 348,117
Denominators are 97,2824
The GCF of 348,117 is 3 .
LCM of 97,2824 is 273928.
The greatest common factor of 348/97,117/2824 = [GCF of 348,117]/[LCM of 97,2824]= 3/273928
Therefore, the GCF of 348/97,117/2824 is 3/273928.
To find the highest common factor of 348,117, we have to find the factors of both numbers and list the highest common factor.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 117 are 1, 3, 9, 13, 39, 117
The HCF of 348,117 is 3.
Lets's calculate GCF of 348,117
| 3 | 348, 117 |
| 116, 39 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 348,117 By Matching Biggest Common Factor Method
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 117
:1,3,9,13,39,117
Greatest Common Factor
We found the factors 348,117 . The biggest common factor number is the GCF number.
So the greatest common factor 348,117 is 3.
Lets's calculate LCM of 97,2824
Given numbers has no common factors except 1. So, there LCM is their product i.e 273928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/273928
Therefore, the GCF of Fractions 348/97,117/2824 is 3/273928
Least Common Multiple of 97,2824 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 97,2824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,2824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,2824) x common factors =1 x 1 = 1
LCM(97,2824) = ( 97 × 2824 ) / 1
LCM(97,2824) = 273928 / 1
LCM(97,2824) = 273928
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 348/97, 117/2824
1. What is the HCF of 348,117?
The HCF of 348,117 is 3
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 348/97, 117/2824?
Answer: GCF of Numerators as per given numbers 348/97, 117/2824 is
GCF of Numerators i.e. for 348,117 is 3
LCM of denominators i.e. for 97,2824 is 273928.
Thus, GCF of Fractions is 3/273928.Finally, GCF of Fractions for 348/97, 117/2824 is 3/273928.