GCF of 7623/821, 4842/368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7623/821, 4842/368 i.e 9/302128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7623/821, 4842/368.
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 7623/821,4842/368?
Given fractions are 7623/821,4842/368
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 7623/821,4842/368, numerators are 7623,4842
Denominators are 821,368
The GCF of 7623,4842 is 9 .
LCM of 821,368 is 302128.
The greatest common factor of 7623/821,4842/368 = [GCF of 7623,4842]/[LCM of 821,368]= 9/302128
Therefore, the GCF of 7623/821,4842/368 is 9/302128.
To find the highest common factor of 7623,4842, we have to find the factors of both numbers and list the highest common factor.
The factors of 7623 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623
The factors of 4842 are 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842
The HCF of 7623,4842 is 9.
Lets's calculate GCF of 7623,4842
| 3 | 7623, 4842 |
| 3 | 2541, 1614 |
| 847, 538 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7623,4842 By Matching Biggest Common Factor Method
Now, list down the factors of 7623
:1,3,7,9,11,21,33,63,77,99,121,231,363,693,847,1089,2541,7623
Now, list down the factors of 4842
:1,2,3,6,9,18,269,538,807,1614,2421,4842
Greatest Common Factor
We found the factors 7623,4842 . The biggest common factor number is the GCF number.
So the greatest common factor 7623,4842 is 9.
Lets's calculate LCM of 821,368
Given numbers has no common factors except 1. So, there LCM is their product i.e 302128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/302128
Therefore, the GCF of Fractions 7623/821,4842/368 is 9/302128
Least Common Multiple of 821,368 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 821,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,368) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,368) x common factors =1 x 1 = 1
LCM(821,368) = ( 821 × 368 ) / 1
LCM(821,368) = 302128 / 1
LCM(821,368) = 302128
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FAQs on GCF of Fractions of 7623/821, 4842/368
1. What is the HCF of 7623,4842?
The HCF of 7623,4842 is 9
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 7623/821, 4842/368?
Answer: GCF of Numerators as per given numbers 7623/821, 4842/368 is
GCF of Numerators i.e. for 7623,4842 is 9
LCM of denominators i.e. for 821,368 is 302128.
Thus, GCF of Fractions is 9/302128.Finally, GCF of Fractions for 7623/821, 4842/368 is 9/302128.