GCF of 7869/867, 9677/2690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7869/867, 9677/2690 i.e 1/2332230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7869/867, 9677/2690.
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 7869/867,9677/2690?
Given fractions are 7869/867,9677/2690
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 7869/867,9677/2690, numerators are 7869,9677
Denominators are 867,2690
The GCF of 7869,9677 is 1 .
LCM of 867,2690 is 2332230.
The greatest common factor of 7869/867,9677/2690 = [GCF of 7869,9677]/[LCM of 867,2690]= 1/2332230
Therefore, the GCF of 7869/867,9677/2690 is 1/2332230.
To find the highest common factor of 7869,9677, we have to find the factors of both numbers and list the highest common factor.
The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869
The factors of 9677 are 1, 9677
The HCF of 7869,9677 is 1.
Lets's calculate GCF of 7869,9677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7869,9677 By Matching Biggest Common Factor Method
Now, list down the factors of 7869
:1,3,43,61,129,183,2623,7869
Now, list down the factors of 9677
:1,9677
Greatest Common Factor
We found the factors 7869,9677 . The biggest common factor number is the GCF number.
So the greatest common factor 7869,9677 is 1.
Lets's calculate LCM of 867,2690
Given numbers has no common factors except 1. So, there LCM is their product i.e 2332230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2332230
Therefore, the GCF of Fractions 7869/867,9677/2690 is 1/2332230
Least Common Multiple of 867,2690 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 867,2690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,2690) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,2690) x common factors =1 x 1 = 1
LCM(867,2690) = ( 867 × 2690 ) / 1
LCM(867,2690) = 2332230 / 1
LCM(867,2690) = 2332230
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FAQs on GCF of Fractions of 7869/867, 9677/2690
1. What is the HCF of 7869,9677?
The HCF of 7869,9677 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 7869/867, 9677/2690?
Answer: GCF of Numerators as per given numbers 7869/867, 9677/2690 is
GCF of Numerators i.e. for 7869,9677 is 1
LCM of denominators i.e. for 867,2690 is 2332230.
Thus, GCF of Fractions is 1/2332230.Finally, GCF of Fractions for 7869/867, 9677/2690 is 1/2332230.