GCF of 7676/909, 7821/8467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7676/909, 7821/8467 i.e 1/7696503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7676/909, 7821/8467.
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 7676/909,7821/8467?
Given fractions are 7676/909,7821/8467
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 7676/909,7821/8467, numerators are 7676,7821
Denominators are 909,8467
The GCF of 7676,7821 is 1 .
LCM of 909,8467 is 7696503.
The greatest common factor of 7676/909,7821/8467 = [GCF of 7676,7821]/[LCM of 909,8467]= 1/7696503
Therefore, the GCF of 7676/909,7821/8467 is 1/7696503.
To find the highest common factor of 7676,7821, we have to find the factors of both numbers and list the highest common factor.
The factors of 7676 are 1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838, 7676
The factors of 7821 are 1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821
The HCF of 7676,7821 is 1.
Lets's calculate GCF of 7676,7821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7676,7821 By Matching Biggest Common Factor Method
Now, list down the factors of 7676
:1,2,4,19,38,76,101,202,404,1919,3838,7676
Now, list down the factors of 7821
:1,3,9,11,33,79,99,237,711,869,2607,7821
Greatest Common Factor
We found the factors 7676,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 7676,7821 is 1.
Lets's calculate LCM of 909,8467
Given numbers has no common factors except 1. So, there LCM is their product i.e 7696503
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7696503
Therefore, the GCF of Fractions 7676/909,7821/8467 is 1/7696503
Least Common Multiple of 909,8467 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 909,8467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,8467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,8467) x common factors =1 x 1 = 1
LCM(909,8467) = ( 909 × 8467 ) / 1
LCM(909,8467) = 7696503 / 1
LCM(909,8467) = 7696503
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FAQs on GCF of Fractions of 7676/909, 7821/8467
1. What is the HCF of 7676,7821?
The HCF of 7676,7821 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 7676/909, 7821/8467?
Answer: GCF of Numerators as per given numbers 7676/909, 7821/8467 is
GCF of Numerators i.e. for 7676,7821 is 1
LCM of denominators i.e. for 909,8467 is 7696503.
Thus, GCF of Fractions is 1/7696503.Finally, GCF of Fractions for 7676/909, 7821/8467 is 1/7696503.