GCF of 1722/461, 7628/7993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1722/461, 7628/7993 i.e 2/3684773 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1722/461, 7628/7993.
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 1722/461,7628/7993?
Given fractions are 1722/461,7628/7993
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 1722/461,7628/7993, numerators are 1722,7628
Denominators are 461,7993
The GCF of 1722,7628 is 2 .
LCM of 461,7993 is 3684773.
The greatest common factor of 1722/461,7628/7993 = [GCF of 1722,7628]/[LCM of 461,7993]= 2/3684773
Therefore, the GCF of 1722/461,7628/7993 is 2/3684773.
To find the highest common factor of 1722,7628, we have to find the factors of both numbers and list the highest common factor.
The factors of 1722 are 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722
The factors of 7628 are 1, 2, 4, 1907, 3814, 7628
The HCF of 1722,7628 is 2.
Lets's calculate GCF of 1722,7628
| 2 | 1722, 7628 |
| 861, 3814 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1722,7628 By Matching Biggest Common Factor Method
Now, list down the factors of 1722
:1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722
Now, list down the factors of 7628
:1,2,4,1907,3814,7628
Greatest Common Factor
We found the factors 1722,7628 . The biggest common factor number is the GCF number.
So the greatest common factor 1722,7628 is 2.
Lets's calculate LCM of 461,7993
Given numbers has no common factors except 1. So, there LCM is their product i.e 3684773
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3684773
Therefore, the GCF of Fractions 1722/461,7628/7993 is 2/3684773
Least Common Multiple of 461,7993 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 461,7993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,7993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,7993) x common factors =1 x 1 = 1
LCM(461,7993) = ( 461 × 7993 ) / 1
LCM(461,7993) = 3684773 / 1
LCM(461,7993) = 3684773
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FAQs on GCF of Fractions of 1722/461, 7628/7993
1. What is the HCF of 1722,7628?
The HCF of 1722,7628 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 1722/461, 7628/7993?
Answer: GCF of Numerators as per given numbers 1722/461, 7628/7993 is
GCF of Numerators i.e. for 1722,7628 is 2
LCM of denominators i.e. for 461,7993 is 3684773.
Thus, GCF of Fractions is 2/3684773.Finally, GCF of Fractions for 1722/461, 7628/7993 is 2/3684773.