GCF of 7528/469, 9868/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7528/469, 9868/409 i.e 4/191821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7528/469, 9868/409.
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 7528/469,9868/409?
Given fractions are 7528/469,9868/409
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 7528/469,9868/409, numerators are 7528,9868
Denominators are 469,409
The GCF of 7528,9868 is 4 .
LCM of 469,409 is 191821.
The greatest common factor of 7528/469,9868/409 = [GCF of 7528,9868]/[LCM of 469,409]= 4/191821
Therefore, the GCF of 7528/469,9868/409 is 4/191821.
To find the highest common factor of 7528,9868, we have to find the factors of both numbers and list the highest common factor.
The factors of 7528 are 1, 2, 4, 8, 941, 1882, 3764, 7528
The factors of 9868 are 1, 2, 4, 2467, 4934, 9868
The HCF of 7528,9868 is 4.
Lets's calculate GCF of 7528,9868
| 2 | 7528, 9868 |
| 2 | 3764, 4934 |
| 1882, 2467 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7528,9868 By Matching Biggest Common Factor Method
Now, list down the factors of 7528
:1,2,4,8,941,1882,3764,7528
Now, list down the factors of 9868
:1,2,4,2467,4934,9868
Greatest Common Factor
We found the factors 7528,9868 . The biggest common factor number is the GCF number.
So the greatest common factor 7528,9868 is 4.
Lets's calculate LCM of 469,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 191821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/191821
Therefore, the GCF of Fractions 7528/469,9868/409 is 4/191821
Least Common Multiple of 469,409 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 469,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,409) x common factors =1 x 1 = 1
LCM(469,409) = ( 469 × 409 ) / 1
LCM(469,409) = 191821 / 1
LCM(469,409) = 191821
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FAQs on GCF of Fractions of 7528/469, 9868/409
1. What is the HCF of 7528,9868?
The HCF of 7528,9868 is 4
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 7528/469, 9868/409?
Answer: GCF of Numerators as per given numbers 7528/469, 9868/409 is
GCF of Numerators i.e. for 7528,9868 is 4
LCM of denominators i.e. for 469,409 is 191821.
Thus, GCF of Fractions is 4/191821.Finally, GCF of Fractions for 7528/469, 9868/409 is 4/191821.