GCF of 1573/528, 8195/7038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1573/528, 8195/7038 i.e 11/619344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1573/528, 8195/7038.
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 1573/528,8195/7038?
Given fractions are 1573/528,8195/7038
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 1573/528,8195/7038, numerators are 1573,8195
Denominators are 528,7038
The GCF of 1573,8195 is 11 .
LCM of 528,7038 is 619344.
The greatest common factor of 1573/528,8195/7038 = [GCF of 1573,8195]/[LCM of 528,7038]= 11/619344
Therefore, the GCF of 1573/528,8195/7038 is 11/619344.
To find the highest common factor of 1573,8195, we have to find the factors of both numbers and list the highest common factor.
The factors of 1573 are 1, 11, 13, 121, 143, 1573
The factors of 8195 are 1, 5, 11, 55, 149, 745, 1639, 8195
The HCF of 1573,8195 is 11.
Lets's calculate GCF of 1573,8195
| 11 | 1573, 8195 |
| 143, 745 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1573,8195 By Matching Biggest Common Factor Method
Now, list down the factors of 1573
:1,11,13,121,143,1573
Now, list down the factors of 8195
:1,5,11,55,149,745,1639,8195
Greatest Common Factor
We found the factors 1573,8195 . The biggest common factor number is the GCF number.
So the greatest common factor 1573,8195 is 11.
Lets's calculate LCM of 528,7038
| 2 | 528, 7038 |
| 3 | 264, 3519 |
| 88, 1173 |
∴ So the LCM of the given numbers is 2 x 3 x 88 x 1173 = 619344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/619344
Therefore, the GCF of Fractions 1573/528,8195/7038 is 11/619344
Least Common Multiple of 528,7038 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 528,7038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,7038) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(528,7038) x common factors =6 x 1 = 6
LCM(528,7038) = ( 528 × 7038 ) / 6
LCM(528,7038) = 3716064 / 6
LCM(528,7038) = 619344
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1573/528, 8195/7038
1. What is the HCF of 1573,8195?
The HCF of 1573,8195 is 11
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 1573/528, 8195/7038?
Answer: GCF of Numerators as per given numbers 1573/528, 8195/7038 is
GCF of Numerators i.e. for 1573,8195 is 11
LCM of denominators i.e. for 528,7038 is 619344.
Thus, GCF of Fractions is 11/619344.Finally, GCF of Fractions for 1573/528, 8195/7038 is 11/619344.