GCF of 294/93, 534/673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 294/93, 534/673 i.e 6/62589 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/93, 534/673.
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 294/93,534/673?
Given fractions are 294/93,534/673
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 294/93,534/673, numerators are 294,534
Denominators are 93,673
The GCF of 294,534 is 6 .
LCM of 93,673 is 62589.
The greatest common factor of 294/93,534/673 = [GCF of 294,534]/[LCM of 93,673]= 6/62589
Therefore, the GCF of 294/93,534/673 is 6/62589.
To find the highest common factor of 294,534, we have to find the factors of both numbers and list the highest common factor.
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534
The HCF of 294,534 is 6.
Lets's calculate GCF of 294,534
| 2 | 294, 534 |
| 3 | 147, 267 |
| 49, 89 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 294,534 By Matching Biggest Common Factor Method
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 294,534 . The biggest common factor number is the GCF number.
So the greatest common factor 294,534 is 6.
Lets's calculate LCM of 93,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 62589
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/62589
Therefore, the GCF of Fractions 294/93,534/673 is 6/62589
Least Common Multiple of 93,673 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 93,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,673) x common factors =1 x 1 = 1
LCM(93,673) = ( 93 × 673 ) / 1
LCM(93,673) = 62589 / 1
LCM(93,673) = 62589
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FAQs on GCF of Fractions of 294/93, 534/673
1. What is the HCF of 294,534?
The HCF of 294,534 is 6
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 294/93, 534/673?
Answer: GCF of Numerators as per given numbers 294/93, 534/673 is
GCF of Numerators i.e. for 294,534 is 6
LCM of denominators i.e. for 93,673 is 62589.
Thus, GCF of Fractions is 6/62589.Finally, GCF of Fractions for 294/93, 534/673 is 6/62589.