GCF of 7192/777, 9704/321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7192/777, 9704/321 i.e 8/83139 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7192/777, 9704/321.
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 7192/777,9704/321?
Given fractions are 7192/777,9704/321
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 7192/777,9704/321, numerators are 7192,9704
Denominators are 777,321
The GCF of 7192,9704 is 8 .
LCM of 777,321 is 83139.
The greatest common factor of 7192/777,9704/321 = [GCF of 7192,9704]/[LCM of 777,321]= 8/83139
Therefore, the GCF of 7192/777,9704/321 is 8/83139.
To find the highest common factor of 7192,9704, we have to find the factors of both numbers and list the highest common factor.
The factors of 7192 are 1, 2, 4, 8, 29, 31, 58, 62, 116, 124, 232, 248, 899, 1798, 3596, 7192
The factors of 9704 are 1, 2, 4, 8, 1213, 2426, 4852, 9704
The HCF of 7192,9704 is 8.
Lets's calculate GCF of 7192,9704
| 2 | 7192, 9704 |
| 2 | 3596, 4852 |
| 2 | 1798, 2426 |
| 899, 1213 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7192,9704 By Matching Biggest Common Factor Method
Now, list down the factors of 7192
:1,2,4,8,29,31,58,62,116,124,232,248,899,1798,3596,7192
Now, list down the factors of 9704
:1,2,4,8,1213,2426,4852,9704
Greatest Common Factor
We found the factors 7192,9704 . The biggest common factor number is the GCF number.
So the greatest common factor 7192,9704 is 8.
Lets's calculate LCM of 777,321
| 3 | 777, 321 |
| 259, 107 |
∴ So the LCM of the given numbers is 3 x 259 x 107 = 83139
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/83139
Therefore, the GCF of Fractions 7192/777,9704/321 is 8/83139
Least Common Multiple of 777,321 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 777,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,321) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(777,321) x common factors =3 x 1 = 3
LCM(777,321) = ( 777 × 321 ) / 3
LCM(777,321) = 249417 / 3
LCM(777,321) = 83139
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FAQs on GCF of Fractions of 7192/777, 9704/321
1. What is the HCF of 7192,9704?
The HCF of 7192,9704 is 8
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 7192/777, 9704/321?
Answer: GCF of Numerators as per given numbers 7192/777, 9704/321 is
GCF of Numerators i.e. for 7192,9704 is 8
LCM of denominators i.e. for 777,321 is 83139.
Thus, GCF of Fractions is 8/83139.Finally, GCF of Fractions for 7192/777, 9704/321 is 8/83139.