GCF of 7636/421, 7553/9940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7636/421, 7553/9940 i.e 83/4184740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7636/421, 7553/9940.
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 7636/421,7553/9940?
Given fractions are 7636/421,7553/9940
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 7636/421,7553/9940, numerators are 7636,7553
Denominators are 421,9940
The GCF of 7636,7553 is 83 .
LCM of 421,9940 is 4184740.
The greatest common factor of 7636/421,7553/9940 = [GCF of 7636,7553]/[LCM of 421,9940]= 83/4184740
Therefore, the GCF of 7636/421,7553/9940 is 83/4184740.
To find the highest common factor of 7636,7553, we have to find the factors of both numbers and list the highest common factor.
The factors of 7636 are 1, 2, 4, 23, 46, 83, 92, 166, 332, 1909, 3818, 7636
The factors of 7553 are 1, 7, 13, 83, 91, 581, 1079, 7553
The HCF of 7636,7553 is 83.
Lets's calculate GCF of 7636,7553
| 83 | 7636, 7553 |
| 92, 91 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 7636,7553 By Matching Biggest Common Factor Method
Now, list down the factors of 7636
:1,2,4,23,46,83,92,166,332,1909,3818,7636
Now, list down the factors of 7553
:1,7,13,83,91,581,1079,7553
Greatest Common Factor
We found the factors 7636,7553 . The biggest common factor number is the GCF number.
So the greatest common factor 7636,7553 is 83.
Lets's calculate LCM of 421,9940
Given numbers has no common factors except 1. So, there LCM is their product i.e 4184740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/4184740
Therefore, the GCF of Fractions 7636/421,7553/9940 is 83/4184740
Least Common Multiple of 421,9940 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 421,9940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,9940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,9940) x common factors =1 x 1 = 1
LCM(421,9940) = ( 421 × 9940 ) / 1
LCM(421,9940) = 4184740 / 1
LCM(421,9940) = 4184740
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FAQs on GCF of Fractions of 7636/421, 7553/9940
1. What is the HCF of 7636,7553?
The HCF of 7636,7553 is 83
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 7636/421, 7553/9940?
Answer: GCF of Numerators as per given numbers 7636/421, 7553/9940 is
GCF of Numerators i.e. for 7636,7553 is 83
LCM of denominators i.e. for 421,9940 is 4184740.
Thus, GCF of Fractions is 83/4184740.Finally, GCF of Fractions for 7636/421, 7553/9940 is 83/4184740.