GCF of 7359/828, 2069/536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7359/828, 2069/536 i.e 1/110952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7359/828, 2069/536.
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 7359/828,2069/536?
Given fractions are 7359/828,2069/536
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 7359/828,2069/536, numerators are 7359,2069
Denominators are 828,536
The GCF of 7359,2069 is 1 .
LCM of 828,536 is 110952.
The greatest common factor of 7359/828,2069/536 = [GCF of 7359,2069]/[LCM of 828,536]= 1/110952
Therefore, the GCF of 7359/828,2069/536 is 1/110952.
To find the highest common factor of 7359,2069, we have to find the factors of both numbers and list the highest common factor.
The factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359
The factors of 2069 are 1, 2069
The HCF of 7359,2069 is 1.
Lets's calculate GCF of 7359,2069
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7359,2069 By Matching Biggest Common Factor Method
Now, list down the factors of 7359
:1,3,11,33,223,669,2453,7359
Now, list down the factors of 2069
:1,2069
Greatest Common Factor
We found the factors 7359,2069 . The biggest common factor number is the GCF number.
So the greatest common factor 7359,2069 is 1.
Lets's calculate LCM of 828,536
| 2 | 828, 536 |
| 2 | 414, 268 |
| 207, 134 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 134 = 110952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110952
Therefore, the GCF of Fractions 7359/828,2069/536 is 1/110952
Least Common Multiple of 828,536 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 828,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,536) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,536) x common factors =4 x 1 = 4
LCM(828,536) = ( 828 × 536 ) / 4
LCM(828,536) = 443808 / 4
LCM(828,536) = 110952
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FAQs on GCF of Fractions of 7359/828, 2069/536
1. What is the HCF of 7359,2069?
The HCF of 7359,2069 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 7359/828, 2069/536?
Answer: GCF of Numerators as per given numbers 7359/828, 2069/536 is
GCF of Numerators i.e. for 7359,2069 is 1
LCM of denominators i.e. for 828,536 is 110952.
Thus, GCF of Fractions is 1/110952.Finally, GCF of Fractions for 7359/828, 2069/536 is 1/110952.