GCF of 7973/182, 9418/2788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7973/182, 9418/2788 i.e 17/253708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7973/182, 9418/2788.
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 7973/182,9418/2788?
Given fractions are 7973/182,9418/2788
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 7973/182,9418/2788, numerators are 7973,9418
Denominators are 182,2788
The GCF of 7973,9418 is 17 .
LCM of 182,2788 is 253708.
The greatest common factor of 7973/182,9418/2788 = [GCF of 7973,9418]/[LCM of 182,2788]= 17/253708
Therefore, the GCF of 7973/182,9418/2788 is 17/253708.
To find the highest common factor of 7973,9418, we have to find the factors of both numbers and list the highest common factor.
The factors of 7973 are 1, 7, 17, 67, 119, 469, 1139, 7973
The factors of 9418 are 1, 2, 17, 34, 277, 554, 4709, 9418
The HCF of 7973,9418 is 17.
Lets's calculate GCF of 7973,9418
| 17 | 7973, 9418 |
| 469, 554 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 7973,9418 By Matching Biggest Common Factor Method
Now, list down the factors of 7973
:1,7,17,67,119,469,1139,7973
Now, list down the factors of 9418
:1,2,17,34,277,554,4709,9418
Greatest Common Factor
We found the factors 7973,9418 . The biggest common factor number is the GCF number.
So the greatest common factor 7973,9418 is 17.
Lets's calculate LCM of 182,2788
| 2 | 182, 2788 |
| 91, 1394 |
∴ So the LCM of the given numbers is 2 x 91 x 1394 = 253708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/253708
Therefore, the GCF of Fractions 7973/182,9418/2788 is 17/253708
Least Common Multiple of 182,2788 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 182,2788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,2788) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(182,2788) x common factors =2 x 1 = 2
LCM(182,2788) = ( 182 × 2788 ) / 2
LCM(182,2788) = 507416 / 2
LCM(182,2788) = 253708
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FAQs on GCF of Fractions of 7973/182, 9418/2788
1. What is the HCF of 7973,9418?
The HCF of 7973,9418 is 17
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 7973/182, 9418/2788?
Answer: GCF of Numerators as per given numbers 7973/182, 9418/2788 is
GCF of Numerators i.e. for 7973,9418 is 17
LCM of denominators i.e. for 182,2788 is 253708.
Thus, GCF of Fractions is 17/253708.Finally, GCF of Fractions for 7973/182, 9418/2788 is 17/253708.