GCF of 23/942, 712/248, 503/490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 23/942, 712/248, 503/490 i.e 1/28617960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/942, 712/248, 503/490.
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 23/942,712/248,503/490?
Given fractions are 23/942,712/248,503/490
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 23/942,712/248,503/490, numerators are 23,712,503
Denominators are 942,248,490
The GCF of 23,712,503 is 1 .
LCM of 942,248,490 is 28617960.
The greatest common factor of 23/942,712/248,503/490 = [GCF of 23,712,503]/[LCM of 942,248,490]= 1/28617960
Therefore, the GCF of 23/942,712/248,503/490 is 1/28617960.
To find the highest common factor of 23,712,503, 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 712 are 1, 2, 4, 8, 89, 178, 356, 712
The factors of 503 are 1, 503
The HCF of 23,712,503 is 1.
Lets's calculate GCF of 23,712,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 23,712,503 By Matching Biggest Common Factor Method
Now, list down the factors of 23
:1,23
Now, list down the factors of 712
:1,2,4,8,89,178,356,712
Now, list down the factors of 503
:1,503
Greatest Common Factor
We found the factors 23,712,503 . The biggest common factor number is the GCF number.
So the greatest common factor 23,712,503 is 1.
Lets's calculate LCM of 942,248,490
| 2 | 942, 248, 490 |
| 471, 124, 245 |
∴ So the LCM of the given numbers is 2 x 471 x 124 x 245 = 28617960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28617960
Therefore, the GCF of Fractions 23/942,712/248,503/490 is 1/28617960
Least Common Multiple of 942,248,490 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 942,248,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,248,490) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(942,248,490) x common factors =2 x 2 = 4
LCM(942,248,490) = ( 942 × 248 × 490 ) / 4
LCM(942,248,490) = 114471840 / 4
LCM(942,248,490) = 28617960
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FAQs on GCF of Fractions of 23/942, 712/248, 503/490
1. What is the HCF of 23,712,503?
The HCF of 23,712,503 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 23/942, 712/248, 503/490?
Answer: GCF of Numerators as per given numbers 23/942, 712/248, 503/490 is
GCF of Numerators i.e. for 23,712,503 is 1
LCM of denominators i.e. for 942,248,490 is 28617960.
Thus, GCF of Fractions is 1/28617960.Finally, GCF of Fractions for 23/942, 712/248, 503/490 is 1/28617960.