GCF of 1302/871, 7789/3661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1302/871, 7789/3661 i.e 1/3188731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1302/871, 7789/3661.
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 1302/871,7789/3661?
Given fractions are 1302/871,7789/3661
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 1302/871,7789/3661, numerators are 1302,7789
Denominators are 871,3661
The GCF of 1302,7789 is 1 .
LCM of 871,3661 is 3188731.
The greatest common factor of 1302/871,7789/3661 = [GCF of 1302,7789]/[LCM of 871,3661]= 1/3188731
Therefore, the GCF of 1302/871,7789/3661 is 1/3188731.
To find the highest common factor of 1302,7789, we have to find the factors of both numbers and list the highest common factor.
The factors of 1302 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302
The factors of 7789 are 1, 7789
The HCF of 1302,7789 is 1.
Lets's calculate GCF of 1302,7789
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1302,7789 By Matching Biggest Common Factor Method
Now, list down the factors of 1302
:1,2,3,6,7,14,21,31,42,62,93,186,217,434,651,1302
Now, list down the factors of 7789
:1,7789
Greatest Common Factor
We found the factors 1302,7789 . The biggest common factor number is the GCF number.
So the greatest common factor 1302,7789 is 1.
Lets's calculate LCM of 871,3661
Given numbers has no common factors except 1. So, there LCM is their product i.e 3188731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3188731
Therefore, the GCF of Fractions 1302/871,7789/3661 is 1/3188731
Least Common Multiple of 871,3661 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 871,3661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,3661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,3661) x common factors =1 x 1 = 1
LCM(871,3661) = ( 871 × 3661 ) / 1
LCM(871,3661) = 3188731 / 1
LCM(871,3661) = 3188731
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FAQs on GCF of Fractions of 1302/871, 7789/3661
1. What is the HCF of 1302,7789?
The HCF of 1302,7789 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 1302/871, 7789/3661?
Answer: GCF of Numerators as per given numbers 1302/871, 7789/3661 is
GCF of Numerators i.e. for 1302,7789 is 1
LCM of denominators i.e. for 871,3661 is 3188731.
Thus, GCF of Fractions is 1/3188731.Finally, GCF of Fractions for 1302/871, 7789/3661 is 1/3188731.