GCF of 8092/977, 7412/3470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8092/977, 7412/3470 i.e 68/3390190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8092/977, 7412/3470.
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 8092/977,7412/3470?
Given fractions are 8092/977,7412/3470
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 8092/977,7412/3470, numerators are 8092,7412
Denominators are 977,3470
The GCF of 8092,7412 is 68 .
LCM of 977,3470 is 3390190.
The greatest common factor of 8092/977,7412/3470 = [GCF of 8092,7412]/[LCM of 977,3470]= 68/3390190
Therefore, the GCF of 8092/977,7412/3470 is 68/3390190.
To find the highest common factor of 8092,7412, we have to find the factors of both numbers and list the highest common factor.
The factors of 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092
The factors of 7412 are 1, 2, 4, 17, 34, 68, 109, 218, 436, 1853, 3706, 7412
The HCF of 8092,7412 is 68.
Lets's calculate GCF of 8092,7412
| 2 | 8092, 7412 |
| 2 | 4046, 3706 |
| 17 | 2023, 1853 |
| 119, 109 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Greatest Common Factor of 8092,7412 By Matching Biggest Common Factor Method
Now, list down the factors of 8092
:1,2,4,7,14,17,28,34,68,119,238,289,476,578,1156,2023,4046,8092
Now, list down the factors of 7412
:1,2,4,17,34,68,109,218,436,1853,3706,7412
Greatest Common Factor
We found the factors 8092,7412 . The biggest common factor number is the GCF number.
So the greatest common factor 8092,7412 is 68.
Lets's calculate LCM of 977,3470
Given numbers has no common factors except 1. So, there LCM is their product i.e 3390190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/3390190
Therefore, the GCF of Fractions 8092/977,7412/3470 is 68/3390190
Least Common Multiple of 977,3470 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 977,3470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,3470) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,3470) x common factors =1 x 1 = 1
LCM(977,3470) = ( 977 × 3470 ) / 1
LCM(977,3470) = 3390190 / 1
LCM(977,3470) = 3390190
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FAQs on GCF of Fractions of 8092/977, 7412/3470
1. What is the HCF of 8092,7412?
The HCF of 8092,7412 is 68
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 8092/977, 7412/3470?
Answer: GCF of Numerators as per given numbers 8092/977, 7412/3470 is
GCF of Numerators i.e. for 8092,7412 is 68
LCM of denominators i.e. for 977,3470 is 3390190.
Thus, GCF of Fractions is 68/3390190.Finally, GCF of Fractions for 8092/977, 7412/3470 is 68/3390190.