GCF of 702/70, 335/50, 478/860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 702/70, 335/50, 478/860 i.e 1/30100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 702/70, 335/50, 478/860.
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 702/70,335/50,478/860?
Given fractions are 702/70,335/50,478/860
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 702/70,335/50,478/860, numerators are 702,335,478
Denominators are 70,50,860
The GCF of 702,335,478 is 1 .
LCM of 70,50,860 is 30100.
The greatest common factor of 702/70,335/50,478/860 = [GCF of 702,335,478]/[LCM of 70,50,860]= 1/30100
Therefore, the GCF of 702/70,335/50,478/860 is 1/30100.
To find the highest common factor of 702,335,478, we have to find the factors of both numbers and list the highest common factor.
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The factors of 335 are 1, 5, 67, 335
The factors of 478 are 1, 2, 239, 478
The HCF of 702,335,478 is 1.
Lets's calculate GCF of 702,335,478
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 702,335,478 By Matching Biggest Common Factor Method
Now, list down the factors of 702
:1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Now, list down the factors of 335
:1,5,67,335
Now, list down the factors of 478
:1,2,239,478
Greatest Common Factor
We found the factors 702,335,478 . The biggest common factor number is the GCF number.
So the greatest common factor 702,335,478 is 1.
Lets's calculate LCM of 70,50,860
| 2 | 70, 50, 860 |
| 5 | 35, 25, 430 |
| 7, 5, 86 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 5 x 86 = 30100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30100
Therefore, the GCF of Fractions 702/70,335/50,478/860 is 1/30100
Least Common Multiple of 70,50,860 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 70,50,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,50,860) = 10
common factors(in case of two or more numbers have common factors) = 10
GCF(70,50,860) x common factors =10 x 10 = 100
LCM(70,50,860) = ( 70 × 50 × 860 ) / 100
LCM(70,50,860) = 3010000 / 100
LCM(70,50,860) = 30100
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FAQs on GCF of Fractions of 702/70, 335/50, 478/860
1. What is the HCF of 702,335,478?
The HCF of 702,335,478 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 702/70, 335/50, 478/860?
Answer: GCF of Numerators as per given numbers 702/70, 335/50, 478/860 is
GCF of Numerators i.e. for 702,335,478 is 1
LCM of denominators i.e. for 70,50,860 is 30100.
Thus, GCF of Fractions is 1/30100.Finally, GCF of Fractions for 702/70, 335/50, 478/860 is 1/30100.