GCF of 1402/723, 4914/125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1402/723, 4914/125 i.e 2/90375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1402/723, 4914/125.
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 1402/723,4914/125?
Given fractions are 1402/723,4914/125
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 1402/723,4914/125, numerators are 1402,4914
Denominators are 723,125
The GCF of 1402,4914 is 2 .
LCM of 723,125 is 90375.
The greatest common factor of 1402/723,4914/125 = [GCF of 1402,4914]/[LCM of 723,125]= 2/90375
Therefore, the GCF of 1402/723,4914/125 is 2/90375.
To find the highest common factor of 1402,4914, we have to find the factors of both numbers and list the highest common factor.
The factors of 1402 are 1, 2, 701, 1402
The factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914
The HCF of 1402,4914 is 2.
Lets's calculate GCF of 1402,4914
| 2 | 1402, 4914 |
| 701, 2457 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1402,4914 By Matching Biggest Common Factor Method
Now, list down the factors of 1402
:1,2,701,1402
Now, list down the factors of 4914
:1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914
Greatest Common Factor
We found the factors 1402,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 1402,4914 is 2.
Lets's calculate LCM of 723,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 90375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/90375
Therefore, the GCF of Fractions 1402/723,4914/125 is 2/90375
Least Common Multiple of 723,125 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 723,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,125) x common factors =1 x 1 = 1
LCM(723,125) = ( 723 × 125 ) / 1
LCM(723,125) = 90375 / 1
LCM(723,125) = 90375
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FAQs on GCF of Fractions of 1402/723, 4914/125
1. What is the HCF of 1402,4914?
The HCF of 1402,4914 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 1402/723, 4914/125?
Answer: GCF of Numerators as per given numbers 1402/723, 4914/125 is
GCF of Numerators i.e. for 1402,4914 is 2
LCM of denominators i.e. for 723,125 is 90375.
Thus, GCF of Fractions is 2/90375.Finally, GCF of Fractions for 1402/723, 4914/125 is 2/90375.