GCF of 220/52, 929/57, 347/88
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 220/52, 929/57, 347/88 i.e 1/65208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/52, 929/57, 347/88.
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 220/52,929/57,347/88?
Given fractions are 220/52,929/57,347/88
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 220/52,929/57,347/88, numerators are 220,929,347
Denominators are 52,57,88
The GCF of 220,929,347 is 1 .
LCM of 52,57,88 is 65208.
The greatest common factor of 220/52,929/57,347/88 = [GCF of 220,929,347]/[LCM of 52,57,88]= 1/65208
Therefore, the GCF of 220/52,929/57,347/88 is 1/65208.
To find the highest common factor of 220,929,347, we have to find the factors of both numbers and list the highest common factor.
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 929 are 1, 929
The factors of 347 are 1, 347
The HCF of 220,929,347 is 1.
Lets's calculate GCF of 220,929,347
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 220,929,347 By Matching Biggest Common Factor Method
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 929
:1,929
Now, list down the factors of 347
:1,347
Greatest Common Factor
We found the factors 220,929,347 . The biggest common factor number is the GCF number.
So the greatest common factor 220,929,347 is 1.
Lets's calculate LCM of 52,57,88
| 2 | 52, 57, 88 |
| 2 | 26, 57, 44 |
| 13, 57, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 57 x 22 = 65208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65208
Therefore, the GCF of Fractions 220/52,929/57,347/88 is 1/65208
Least Common Multiple of 52,57,88 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 52,57,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,57,88) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(52,57,88) x common factors =1 x 4 = 4
LCM(52,57,88) = ( 52 × 57 × 88 ) / 4
LCM(52,57,88) = 260832 / 4
LCM(52,57,88) = 65208
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 220/52, 929/57, 347/88
1. What is the HCF of 220,929,347?
The HCF of 220,929,347 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 220/52, 929/57, 347/88?
Answer: GCF of Numerators as per given numbers 220/52, 929/57, 347/88 is
GCF of Numerators i.e. for 220,929,347 is 1
LCM of denominators i.e. for 52,57,88 is 65208.
Thus, GCF of Fractions is 1/65208.Finally, GCF of Fractions for 220/52, 929/57, 347/88 is 1/65208.