GCF of 23/762, 46/960, 958/785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 23/762, 46/960, 958/785 i.e 1/19141440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/762, 46/960, 958/785.
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 23/762,46/960,958/785?
Given fractions are 23/762,46/960,958/785
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 23/762,46/960,958/785, numerators are 23,46,958
Denominators are 762,960,785
The GCF of 23,46,958 is 1 .
LCM of 762,960,785 is 19141440.
The greatest common factor of 23/762,46/960,958/785 = [GCF of 23,46,958]/[LCM of 762,960,785]= 1/19141440
Therefore, the GCF of 23/762,46/960,958/785 is 1/19141440.
To find the highest common factor of 23,46,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 23 are 1, 23
The factors of 46 are 1, 2, 23, 46
The factors of 958 are 1, 2, 479, 958
The HCF of 23,46,958 is 1.
Lets's calculate GCF of 23,46,958
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 23,46,958 By Matching Biggest Common Factor Method
Now, list down the factors of 23
:1,23
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 23,46,958 . The biggest common factor number is the GCF number.
So the greatest common factor 23,46,958 is 1.
Lets's calculate LCM of 762,960,785
| 2 | 762, 960, 785 |
| 3 | 381, 480, 785 |
| 5 | 127, 160, 785 |
| 127, 32, 157 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 127 x 32 x 157 = 19141440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19141440
Therefore, the GCF of Fractions 23/762,46/960,958/785 is 1/19141440
Least Common Multiple of 762,960,785 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 762,960,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,960,785) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(762,960,785) x common factors =1 x 30 = 30
LCM(762,960,785) = ( 762 × 960 × 785 ) / 30
LCM(762,960,785) = 574243200 / 30
LCM(762,960,785) = 19141440
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FAQs on GCF of Fractions of 23/762, 46/960, 958/785
1. What is the HCF of 23,46,958?
The HCF of 23,46,958 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 23/762, 46/960, 958/785?
Answer: GCF of Numerators as per given numbers 23/762, 46/960, 958/785 is
GCF of Numerators i.e. for 23,46,958 is 1
LCM of denominators i.e. for 762,960,785 is 19141440.
Thus, GCF of Fractions is 1/19141440.Finally, GCF of Fractions for 23/762, 46/960, 958/785 is 1/19141440.