GCF of 4672/743, 3694/165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4672/743, 3694/165 i.e 2/122595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4672/743, 3694/165.
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 4672/743,3694/165?
Given fractions are 4672/743,3694/165
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 4672/743,3694/165, numerators are 4672,3694
Denominators are 743,165
The GCF of 4672,3694 is 2 .
LCM of 743,165 is 122595.
The greatest common factor of 4672/743,3694/165 = [GCF of 4672,3694]/[LCM of 743,165]= 2/122595
Therefore, the GCF of 4672/743,3694/165 is 2/122595.
To find the highest common factor of 4672,3694, we have to find the factors of both numbers and list the highest common factor.
The factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672
The factors of 3694 are 1, 2, 1847, 3694
The HCF of 4672,3694 is 2.
Lets's calculate GCF of 4672,3694
| 2 | 4672, 3694 |
| 2336, 1847 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4672,3694 By Matching Biggest Common Factor Method
Now, list down the factors of 4672
:1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672
Now, list down the factors of 3694
:1,2,1847,3694
Greatest Common Factor
We found the factors 4672,3694 . The biggest common factor number is the GCF number.
So the greatest common factor 4672,3694 is 2.
Lets's calculate LCM of 743,165
Given numbers has no common factors except 1. So, there LCM is their product i.e 122595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122595
Therefore, the GCF of Fractions 4672/743,3694/165 is 2/122595
Least Common Multiple of 743,165 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 743,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,165) x common factors =1 x 1 = 1
LCM(743,165) = ( 743 × 165 ) / 1
LCM(743,165) = 122595 / 1
LCM(743,165) = 122595
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FAQs on GCF of Fractions of 4672/743, 3694/165
1. What is the HCF of 4672,3694?
The HCF of 4672,3694 is 2
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 4672/743, 3694/165?
Answer: GCF of Numerators as per given numbers 4672/743, 3694/165 is
GCF of Numerators i.e. for 4672,3694 is 2
LCM of denominators i.e. for 743,165 is 122595.
Thus, GCF of Fractions is 2/122595.Finally, GCF of Fractions for 4672/743, 3694/165 is 2/122595.