GCF of 7208/788, 4092/885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7208/788, 4092/885 i.e 4/697380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7208/788, 4092/885.
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 7208/788,4092/885?
Given fractions are 7208/788,4092/885
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 7208/788,4092/885, numerators are 7208,4092
Denominators are 788,885
The GCF of 7208,4092 is 4 .
LCM of 788,885 is 697380.
The greatest common factor of 7208/788,4092/885 = [GCF of 7208,4092]/[LCM of 788,885]= 4/697380
Therefore, the GCF of 7208/788,4092/885 is 4/697380.
To find the highest common factor of 7208,4092, we have to find the factors of both numbers and list the highest common factor.
The factors of 7208 are 1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208
The factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092
The HCF of 7208,4092 is 4.
Lets's calculate GCF of 7208,4092
| 2 | 7208, 4092 |
| 2 | 3604, 2046 |
| 1802, 1023 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7208,4092 By Matching Biggest Common Factor Method
Now, list down the factors of 7208
:1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208
Now, list down the factors of 4092
:1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092
Greatest Common Factor
We found the factors 7208,4092 . The biggest common factor number is the GCF number.
So the greatest common factor 7208,4092 is 4.
Lets's calculate LCM of 788,885
Given numbers has no common factors except 1. So, there LCM is their product i.e 697380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/697380
Therefore, the GCF of Fractions 7208/788,4092/885 is 4/697380
Least Common Multiple of 788,885 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 788,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,885) x common factors =1 x 1 = 1
LCM(788,885) = ( 788 × 885 ) / 1
LCM(788,885) = 697380 / 1
LCM(788,885) = 697380
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FAQs on GCF of Fractions of 7208/788, 4092/885
1. What is the HCF of 7208,4092?
The HCF of 7208,4092 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 7208/788, 4092/885?
Answer: GCF of Numerators as per given numbers 7208/788, 4092/885 is
GCF of Numerators i.e. for 7208,4092 is 4
LCM of denominators i.e. for 788,885 is 697380.
Thus, GCF of Fractions is 4/697380.Finally, GCF of Fractions for 7208/788, 4092/885 is 4/697380.