GCF of 832/805, 7139/9708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 832/805, 7139/9708 i.e 1/7814940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/805, 7139/9708.
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 832/805,7139/9708?
Given fractions are 832/805,7139/9708
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 832/805,7139/9708, numerators are 832,7139
Denominators are 805,9708
The GCF of 832,7139 is 1 .
LCM of 805,9708 is 7814940.
The greatest common factor of 832/805,7139/9708 = [GCF of 832,7139]/[LCM of 805,9708]= 1/7814940
Therefore, the GCF of 832/805,7139/9708 is 1/7814940.
To find the highest common factor of 832,7139, we have to find the factors of both numbers and list the highest common factor.
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The factors of 7139 are 1, 11, 59, 121, 649, 7139
The HCF of 832,7139 is 1.
Lets's calculate GCF of 832,7139
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 832,7139 By Matching Biggest Common Factor Method
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Now, list down the factors of 7139
:1,11,59,121,649,7139
Greatest Common Factor
We found the factors 832,7139 . The biggest common factor number is the GCF number.
So the greatest common factor 832,7139 is 1.
Lets's calculate LCM of 805,9708
Given numbers has no common factors except 1. So, there LCM is their product i.e 7814940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7814940
Therefore, the GCF of Fractions 832/805,7139/9708 is 1/7814940
Least Common Multiple of 805,9708 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 805,9708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,9708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,9708) x common factors =1 x 1 = 1
LCM(805,9708) = ( 805 × 9708 ) / 1
LCM(805,9708) = 7814940 / 1
LCM(805,9708) = 7814940
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 832/805, 7139/9708
1. What is the HCF of 832,7139?
The HCF of 832,7139 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 832/805, 7139/9708?
Answer: GCF of Numerators as per given numbers 832/805, 7139/9708 is
GCF of Numerators i.e. for 832,7139 is 1
LCM of denominators i.e. for 805,9708 is 7814940.
Thus, GCF of Fractions is 1/7814940.Finally, GCF of Fractions for 832/805, 7139/9708 is 1/7814940.