GCF of 96/752, 56/423, 673/222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/752, 56/423, 673/222 i.e 1/250416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/752, 56/423, 673/222.
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 96/752,56/423,673/222?
Given fractions are 96/752,56/423,673/222
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 96/752,56/423,673/222, numerators are 96,56,673
Denominators are 752,423,222
The GCF of 96,56,673 is 1 .
LCM of 752,423,222 is 250416.
The greatest common factor of 96/752,56/423,673/222 = [GCF of 96,56,673]/[LCM of 752,423,222]= 1/250416
Therefore, the GCF of 96/752,56/423,673/222 is 1/250416.
To find the highest common factor of 96,56,673, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
The factors of 673 are 1, 673
The HCF of 96,56,673 is 1.
Lets's calculate GCF of 96,56,673
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 96,56,673 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 56
:1,2,4,7,8,14,28,56
Now, list down the factors of 673
:1,673
Greatest Common Factor
We found the factors 96,56,673 . The biggest common factor number is the GCF number.
So the greatest common factor 96,56,673 is 1.
Lets's calculate LCM of 752,423,222
| 2 | 752, 423, 222 |
| 3 | 376, 423, 111 |
| 47 | 376, 141, 37 |
| 8, 3, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 47 x 8 x 3 x 37 = 250416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/250416
Therefore, the GCF of Fractions 96/752,56/423,673/222 is 1/250416
Least Common Multiple of 752,423,222 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 752,423,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,423,222) = 1
common factors(in case of two or more numbers have common factors) = 282
GCF(752,423,222) x common factors =1 x 282 = 282
LCM(752,423,222) = ( 752 × 423 × 222 ) / 282
LCM(752,423,222) = 70617312 / 282
LCM(752,423,222) = 250416
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FAQs on GCF of Fractions of 96/752, 56/423, 673/222
1. What is the HCF of 96,56,673?
The HCF of 96,56,673 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 96/752, 56/423, 673/222?
Answer: GCF of Numerators as per given numbers 96/752, 56/423, 673/222 is
GCF of Numerators i.e. for 96,56,673 is 1
LCM of denominators i.e. for 752,423,222 is 250416.
Thus, GCF of Fractions is 1/250416.Finally, GCF of Fractions for 96/752, 56/423, 673/222 is 1/250416.