GCF of 416/124, 6710/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 416/124, 6710/565 i.e 2/70060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 416/124, 6710/565.
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 416/124,6710/565?
Given fractions are 416/124,6710/565
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 416/124,6710/565, numerators are 416,6710
Denominators are 124,565
The GCF of 416,6710 is 2 .
LCM of 124,565 is 70060.
The greatest common factor of 416/124,6710/565 = [GCF of 416,6710]/[LCM of 124,565]= 2/70060
Therefore, the GCF of 416/124,6710/565 is 2/70060.
To find the highest common factor of 416,6710, we have to find the factors of both numbers and list the highest common factor.
The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
The factors of 6710 are 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710
The HCF of 416,6710 is 2.
Lets's calculate GCF of 416,6710
| 2 | 416, 6710 |
| 208, 3355 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 416,6710 By Matching Biggest Common Factor Method
Now, list down the factors of 416
:1,2,4,8,13,16,26,32,52,104,208,416
Now, list down the factors of 6710
:1,2,5,10,11,22,55,61,110,122,305,610,671,1342,3355,6710
Greatest Common Factor
We found the factors 416,6710 . The biggest common factor number is the GCF number.
So the greatest common factor 416,6710 is 2.
Lets's calculate LCM of 124,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 70060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70060
Therefore, the GCF of Fractions 416/124,6710/565 is 2/70060
Least Common Multiple of 124,565 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 124,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(124,565) x common factors =1 x 1 = 1
LCM(124,565) = ( 124 × 565 ) / 1
LCM(124,565) = 70060 / 1
LCM(124,565) = 70060
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FAQs on GCF of Fractions of 416/124, 6710/565
1. What is the HCF of 416,6710?
The HCF of 416,6710 is 2
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 416/124, 6710/565?
Answer: GCF of Numerators as per given numbers 416/124, 6710/565 is
GCF of Numerators i.e. for 416,6710 is 2
LCM of denominators i.e. for 124,565 is 70060.
Thus, GCF of Fractions is 2/70060.Finally, GCF of Fractions for 416/124, 6710/565 is 2/70060.