GCF of 441/603, 692/754, 296/945
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 441/603, 692/754, 296/945 i.e 1/47739510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 441/603, 692/754, 296/945.
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 441/603,692/754,296/945?
Given fractions are 441/603,692/754,296/945
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 441/603,692/754,296/945, numerators are 441,692,296
Denominators are 603,754,945
The GCF of 441,692,296 is 1 .
LCM of 603,754,945 is 47739510.
The greatest common factor of 441/603,692/754,296/945 = [GCF of 441,692,296]/[LCM of 603,754,945]= 1/47739510
Therefore, the GCF of 441/603,692/754,296/945 is 1/47739510.
To find the highest common factor of 441,692,296, we have to find the factors of both numbers and list the highest common factor.
The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441
The factors of 692 are 1, 2, 4, 173, 346, 692
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296
The HCF of 441,692,296 is 1.
Lets's calculate GCF of 441,692,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 441,692,296 By Matching Biggest Common Factor Method
Now, list down the factors of 441
:1,3,7,9,21,49,63,147,441
Now, list down the factors of 692
:1,2,4,173,346,692
Now, list down the factors of 296
:1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 441,692,296 . The biggest common factor number is the GCF number.
So the greatest common factor 441,692,296 is 1.
Lets's calculate LCM of 603,754,945
| 3 | 603, 754, 945 |
| 3 | 201, 754, 315 |
| 67, 754, 105 |
∴ So the LCM of the given numbers is 3 x 3 x 67 x 754 x 105 = 47739510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47739510
Therefore, the GCF of Fractions 441/603,692/754,296/945 is 1/47739510
Least Common Multiple of 603,754,945 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 603,754,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,754,945) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(603,754,945) x common factors =1 x 9 = 9
LCM(603,754,945) = ( 603 × 754 × 945 ) / 9
LCM(603,754,945) = 429655590 / 9
LCM(603,754,945) = 47739510
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FAQs on GCF of Fractions of 441/603, 692/754, 296/945
1. What is the HCF of 441,692,296?
The HCF of 441,692,296 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 441/603, 692/754, 296/945?
Answer: GCF of Numerators as per given numbers 441/603, 692/754, 296/945 is
GCF of Numerators i.e. for 441,692,296 is 1
LCM of denominators i.e. for 603,754,945 is 47739510.
Thus, GCF of Fractions is 1/47739510.Finally, GCF of Fractions for 441/603, 692/754, 296/945 is 1/47739510.