GCF of 34/53, 91/60, 734/222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/53, 91/60, 734/222 i.e 1/117660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/53, 91/60, 734/222.
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 34/53,91/60,734/222?
Given fractions are 34/53,91/60,734/222
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 34/53,91/60,734/222, numerators are 34,91,734
Denominators are 53,60,222
The GCF of 34,91,734 is 1 .
LCM of 53,60,222 is 117660.
The greatest common factor of 34/53,91/60,734/222 = [GCF of 34,91,734]/[LCM of 53,60,222]= 1/117660
Therefore, the GCF of 34/53,91/60,734/222 is 1/117660.
To find the highest common factor of 34,91,734, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 91 are 1, 7, 13, 91
The factors of 734 are 1, 2, 367, 734
The HCF of 34,91,734 is 1.
Lets's calculate GCF of 34,91,734
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,91,734 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 734
:1,2,367,734
Greatest Common Factor
We found the factors 34,91,734 . The biggest common factor number is the GCF number.
So the greatest common factor 34,91,734 is 1.
Lets's calculate LCM of 53,60,222
| 2 | 53, 60, 222 |
| 3 | 53, 30, 111 |
| 53, 10, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 10 x 37 = 117660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117660
Therefore, the GCF of Fractions 34/53,91/60,734/222 is 1/117660
Least Common Multiple of 53,60,222 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 53,60,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,60,222) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(53,60,222) x common factors =1 x 6 = 6
LCM(53,60,222) = ( 53 × 60 × 222 ) / 6
LCM(53,60,222) = 705960 / 6
LCM(53,60,222) = 117660
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FAQs on GCF of Fractions of 34/53, 91/60, 734/222
1. What is the HCF of 34,91,734?
The HCF of 34,91,734 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 34/53, 91/60, 734/222?
Answer: GCF of Numerators as per given numbers 34/53, 91/60, 734/222 is
GCF of Numerators i.e. for 34,91,734 is 1
LCM of denominators i.e. for 53,60,222 is 117660.
Thus, GCF of Fractions is 1/117660.Finally, GCF of Fractions for 34/53, 91/60, 734/222 is 1/117660.