GCF of 7123/504, 1992/7049
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7123/504, 1992/7049 i.e 1/507528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7123/504, 1992/7049.
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 7123/504,1992/7049?
Given fractions are 7123/504,1992/7049
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 7123/504,1992/7049, numerators are 7123,1992
Denominators are 504,7049
The GCF of 7123,1992 is 1 .
LCM of 504,7049 is 507528.
The greatest common factor of 7123/504,1992/7049 = [GCF of 7123,1992]/[LCM of 504,7049]= 1/507528
Therefore, the GCF of 7123/504,1992/7049 is 1/507528.
To find the highest common factor of 7123,1992, we have to find the factors of both numbers and list the highest common factor.
The factors of 7123 are 1, 17, 419, 7123
The factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992
The HCF of 7123,1992 is 1.
Lets's calculate GCF of 7123,1992
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7123,1992 By Matching Biggest Common Factor Method
Now, list down the factors of 7123
:1,17,419,7123
Now, list down the factors of 1992
:1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992
Greatest Common Factor
We found the factors 7123,1992 . The biggest common factor number is the GCF number.
So the greatest common factor 7123,1992 is 1.
Lets's calculate LCM of 504,7049
| 7 | 504, 7049 |
| 72, 1007 |
∴ So the LCM of the given numbers is 7 x 72 x 1007 = 507528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/507528
Therefore, the GCF of Fractions 7123/504,1992/7049 is 1/507528
Least Common Multiple of 504,7049 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 504,7049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,7049) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(504,7049) x common factors =7 x 1 = 7
LCM(504,7049) = ( 504 × 7049 ) / 7
LCM(504,7049) = 3552696 / 7
LCM(504,7049) = 507528
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FAQs on GCF of Fractions of 7123/504, 1992/7049
1. What is the HCF of 7123,1992?
The HCF of 7123,1992 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 7123/504, 1992/7049?
Answer: GCF of Numerators as per given numbers 7123/504, 1992/7049 is
GCF of Numerators i.e. for 7123,1992 is 1
LCM of denominators i.e. for 504,7049 is 507528.
Thus, GCF of Fractions is 1/507528.Finally, GCF of Fractions for 7123/504, 1992/7049 is 1/507528.