GCF of 97/322, 34/570, 947/456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 97/322, 34/570, 947/456 i.e 1/367080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/322, 34/570, 947/456.
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 97/322,34/570,947/456?
Given fractions are 97/322,34/570,947/456
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 97/322,34/570,947/456, numerators are 97,34,947
Denominators are 322,570,456
The GCF of 97,34,947 is 1 .
LCM of 322,570,456 is 367080.
The greatest common factor of 97/322,34/570,947/456 = [GCF of 97,34,947]/[LCM of 322,570,456]= 1/367080
Therefore, the GCF of 97/322,34/570,947/456 is 1/367080.
To find the highest common factor of 97,34,947, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 34 are 1, 2, 17, 34
The factors of 947 are 1, 947
The HCF of 97,34,947 is 1.
Lets's calculate GCF of 97,34,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 97,34,947 By Matching Biggest Common Factor Method
Now, list down the factors of 97
:1,97
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 947
:1,947
Greatest Common Factor
We found the factors 97,34,947 . The biggest common factor number is the GCF number.
So the greatest common factor 97,34,947 is 1.
Lets's calculate LCM of 322,570,456
| 2 | 322, 570, 456 |
| 3 | 161, 285, 228 |
| 19 | 161, 95, 76 |
| 161, 5, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 161 x 5 x 4 = 367080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367080
Therefore, the GCF of Fractions 97/322,34/570,947/456 is 1/367080
Least Common Multiple of 322,570,456 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 322,570,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,570,456) = 2
common factors(in case of two or more numbers have common factors) = 114
GCF(322,570,456) x common factors =2 x 114 = 228
LCM(322,570,456) = ( 322 × 570 × 456 ) / 228
LCM(322,570,456) = 83694240 / 228
LCM(322,570,456) = 367080
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FAQs on GCF of Fractions of 97/322, 34/570, 947/456
1. What is the HCF of 97,34,947?
The HCF of 97,34,947 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 97/322, 34/570, 947/456?
Answer: GCF of Numerators as per given numbers 97/322, 34/570, 947/456 is
GCF of Numerators i.e. for 97,34,947 is 1
LCM of denominators i.e. for 322,570,456 is 367080.
Thus, GCF of Fractions is 1/367080.Finally, GCF of Fractions for 97/322, 34/570, 947/456 is 1/367080.