GCF of 3472/977, 9016/5807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3472/977, 9016/5807 i.e 56/5673439 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3472/977, 9016/5807.
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 3472/977,9016/5807?
Given fractions are 3472/977,9016/5807
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 3472/977,9016/5807, numerators are 3472,9016
Denominators are 977,5807
The GCF of 3472,9016 is 56 .
LCM of 977,5807 is 5673439.
The greatest common factor of 3472/977,9016/5807 = [GCF of 3472,9016]/[LCM of 977,5807]= 56/5673439
Therefore, the GCF of 3472/977,9016/5807 is 56/5673439.
To find the highest common factor of 3472,9016, we have to find the factors of both numbers and list the highest common factor.
The factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472
The factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016
The HCF of 3472,9016 is 56.
Lets's calculate GCF of 3472,9016
| 2 | 3472, 9016 |
| 2 | 1736, 4508 |
| 2 | 868, 2254 |
| 7 | 434, 1127 |
| 62, 161 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 3472,9016 By Matching Biggest Common Factor Method
Now, list down the factors of 3472
:1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472
Now, list down the factors of 9016
:1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Greatest Common Factor
We found the factors 3472,9016 . The biggest common factor number is the GCF number.
So the greatest common factor 3472,9016 is 56.
Lets's calculate LCM of 977,5807
Given numbers has no common factors except 1. So, there LCM is their product i.e 5673439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/5673439
Therefore, the GCF of Fractions 3472/977,9016/5807 is 56/5673439
Least Common Multiple of 977,5807 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 977,5807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,5807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,5807) x common factors =1 x 1 = 1
LCM(977,5807) = ( 977 × 5807 ) / 1
LCM(977,5807) = 5673439 / 1
LCM(977,5807) = 5673439
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FAQs on GCF of Fractions of 3472/977, 9016/5807
1. What is the HCF of 3472,9016?
The HCF of 3472,9016 is 56
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 3472/977, 9016/5807?
Answer: GCF of Numerators as per given numbers 3472/977, 9016/5807 is
GCF of Numerators i.e. for 3472,9016 is 56
LCM of denominators i.e. for 977,5807 is 5673439.
Thus, GCF of Fractions is 56/5673439.Finally, GCF of Fractions for 3472/977, 9016/5807 is 56/5673439.