GCF of 7823/717, 1738/7521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7823/717, 1738/7521 i.e 1/1797519 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7823/717, 1738/7521.
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 7823/717,1738/7521?
Given fractions are 7823/717,1738/7521
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 7823/717,1738/7521, numerators are 7823,1738
Denominators are 717,7521
The GCF of 7823,1738 is 1 .
LCM of 717,7521 is 1797519.
The greatest common factor of 7823/717,1738/7521 = [GCF of 7823,1738]/[LCM of 717,7521]= 1/1797519
Therefore, the GCF of 7823/717,1738/7521 is 1/1797519.
To find the highest common factor of 7823,1738, we have to find the factors of both numbers and list the highest common factor.
The factors of 7823 are 1, 7823
The factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738
The HCF of 7823,1738 is 1.
Lets's calculate GCF of 7823,1738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7823,1738 By Matching Biggest Common Factor Method
Now, list down the factors of 7823
:1,7823
Now, list down the factors of 1738
:1,2,11,22,79,158,869,1738
Greatest Common Factor
We found the factors 7823,1738 . The biggest common factor number is the GCF number.
So the greatest common factor 7823,1738 is 1.
Lets's calculate LCM of 717,7521
| 3 | 717, 7521 |
| 239, 2507 |
∴ So the LCM of the given numbers is 3 x 239 x 2507 = 1797519
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1797519
Therefore, the GCF of Fractions 7823/717,1738/7521 is 1/1797519
Least Common Multiple of 717,7521 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 717,7521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,7521) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,7521) x common factors =3 x 1 = 3
LCM(717,7521) = ( 717 × 7521 ) / 3
LCM(717,7521) = 5392557 / 3
LCM(717,7521) = 1797519
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FAQs on GCF of Fractions of 7823/717, 1738/7521
1. What is the HCF of 7823,1738?
The HCF of 7823,1738 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 7823/717, 1738/7521?
Answer: GCF of Numerators as per given numbers 7823/717, 1738/7521 is
GCF of Numerators i.e. for 7823,1738 is 1
LCM of denominators i.e. for 717,7521 is 1797519.
Thus, GCF of Fractions is 1/1797519.Finally, GCF of Fractions for 7823/717, 1738/7521 is 1/1797519.