GCF of 77/343, 478/652, 800/455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 77/343, 478/652, 800/455 i.e 1/14536340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/343, 478/652, 800/455.
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 77/343,478/652,800/455?
Given fractions are 77/343,478/652,800/455
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 77/343,478/652,800/455, numerators are 77,478,800
Denominators are 343,652,455
The GCF of 77,478,800 is 1 .
LCM of 343,652,455 is 14536340.
The greatest common factor of 77/343,478/652,800/455 = [GCF of 77,478,800]/[LCM of 343,652,455]= 1/14536340
Therefore, the GCF of 77/343,478/652,800/455 is 1/14536340.
To find the highest common factor of 77,478,800, we have to find the factors of both numbers and list the highest common factor.
The factors of 77 are 1, 7, 11, 77
The factors of 478 are 1, 2, 239, 478
The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
The HCF of 77,478,800 is 1.
Lets's calculate GCF of 77,478,800
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 77,478,800 By Matching Biggest Common Factor Method
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 478
:1,2,239,478
Now, list down the factors of 800
:1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Greatest Common Factor
We found the factors 77,478,800 . The biggest common factor number is the GCF number.
So the greatest common factor 77,478,800 is 1.
Lets's calculate LCM of 343,652,455
| 7 | 343, 652, 455 |
| 49, 652, 65 |
∴ So the LCM of the given numbers is 7 x 49 x 652 x 65 = 14536340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14536340
Therefore, the GCF of Fractions 77/343,478/652,800/455 is 1/14536340
Least Common Multiple of 343,652,455 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 343,652,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,652,455) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(343,652,455) x common factors =1 x 7 = 7
LCM(343,652,455) = ( 343 × 652 × 455 ) / 7
LCM(343,652,455) = 101754380 / 7
LCM(343,652,455) = 14536340
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FAQs on GCF of Fractions of 77/343, 478/652, 800/455
1. What is the HCF of 77,478,800?
The HCF of 77,478,800 is 1
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 77/343, 478/652, 800/455?
Answer: GCF of Numerators as per given numbers 77/343, 478/652, 800/455 is
GCF of Numerators i.e. for 77,478,800 is 1
LCM of denominators i.e. for 343,652,455 is 14536340.
Thus, GCF of Fractions is 1/14536340.Finally, GCF of Fractions for 77/343, 478/652, 800/455 is 1/14536340.