GCF of 6979/833, 6430/9710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6979/833, 6430/9710 i.e 1/8088430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6979/833, 6430/9710.
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 6979/833,6430/9710?
Given fractions are 6979/833,6430/9710
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 6979/833,6430/9710, numerators are 6979,6430
Denominators are 833,9710
The GCF of 6979,6430 is 1 .
LCM of 833,9710 is 8088430.
The greatest common factor of 6979/833,6430/9710 = [GCF of 6979,6430]/[LCM of 833,9710]= 1/8088430
Therefore, the GCF of 6979/833,6430/9710 is 1/8088430.
To find the highest common factor of 6979,6430, we have to find the factors of both numbers and list the highest common factor.
The factors of 6979 are 1, 7, 997, 6979
The factors of 6430 are 1, 2, 5, 10, 643, 1286, 3215, 6430
The HCF of 6979,6430 is 1.
Lets's calculate GCF of 6979,6430
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6979,6430 By Matching Biggest Common Factor Method
Now, list down the factors of 6979
:1,7,997,6979
Now, list down the factors of 6430
:1,2,5,10,643,1286,3215,6430
Greatest Common Factor
We found the factors 6979,6430 . The biggest common factor number is the GCF number.
So the greatest common factor 6979,6430 is 1.
Lets's calculate LCM of 833,9710
Given numbers has no common factors except 1. So, there LCM is their product i.e 8088430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8088430
Therefore, the GCF of Fractions 6979/833,6430/9710 is 1/8088430
Least Common Multiple of 833,9710 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 833,9710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,9710) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,9710) x common factors =1 x 1 = 1
LCM(833,9710) = ( 833 × 9710 ) / 1
LCM(833,9710) = 8088430 / 1
LCM(833,9710) = 8088430
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FAQs on GCF of Fractions of 6979/833, 6430/9710
1. What is the HCF of 6979,6430?
The HCF of 6979,6430 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 6979/833, 6430/9710?
Answer: GCF of Numerators as per given numbers 6979/833, 6430/9710 is
GCF of Numerators i.e. for 6979,6430 is 1
LCM of denominators i.e. for 833,9710 is 8088430.
Thus, GCF of Fractions is 1/8088430.Finally, GCF of Fractions for 6979/833, 6430/9710 is 1/8088430.