GCF of 3310/105, 6440/787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3310/105, 6440/787 i.e 10/82635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3310/105, 6440/787.
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 3310/105,6440/787?
Given fractions are 3310/105,6440/787
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 3310/105,6440/787, numerators are 3310,6440
Denominators are 105,787
The GCF of 3310,6440 is 10 .
LCM of 105,787 is 82635.
The greatest common factor of 3310/105,6440/787 = [GCF of 3310,6440]/[LCM of 105,787]= 10/82635
Therefore, the GCF of 3310/105,6440/787 is 10/82635.
To find the highest common factor of 3310,6440, we have to find the factors of both numbers and list the highest common factor.
The factors of 3310 are 1, 2, 5, 10, 331, 662, 1655, 3310
The factors of 6440 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 28, 35, 40, 46, 56, 70, 92, 115, 140, 161, 184, 230, 280, 322, 460, 644, 805, 920, 1288, 1610, 3220, 6440
The HCF of 3310,6440 is 10.
Lets's calculate GCF of 3310,6440
| 2 | 3310, 6440 |
| 5 | 1655, 3220 |
| 331, 644 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3310,6440 By Matching Biggest Common Factor Method
Now, list down the factors of 3310
:1,2,5,10,331,662,1655,3310
Now, list down the factors of 6440
:1,2,4,5,7,8,10,14,20,23,28,35,40,46,56,70,92,115,140,161,184,230,280,322,460,644,805,920,1288,1610,3220,6440
Greatest Common Factor
We found the factors 3310,6440 . The biggest common factor number is the GCF number.
So the greatest common factor 3310,6440 is 10.
Lets's calculate LCM of 105,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 82635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/82635
Therefore, the GCF of Fractions 3310/105,6440/787 is 10/82635
Least Common Multiple of 105,787 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 105,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,787) x common factors =1 x 1 = 1
LCM(105,787) = ( 105 × 787 ) / 1
LCM(105,787) = 82635 / 1
LCM(105,787) = 82635
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FAQs on GCF of Fractions of 3310/105, 6440/787
1. What is the HCF of 3310,6440?
The HCF of 3310,6440 is 10
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 3310/105, 6440/787?
Answer: GCF of Numerators as per given numbers 3310/105, 6440/787 is
GCF of Numerators i.e. for 3310,6440 is 10
LCM of denominators i.e. for 105,787 is 82635.
Thus, GCF of Fractions is 10/82635.Finally, GCF of Fractions for 3310/105, 6440/787 is 10/82635.