GCF of 455/70, 630/471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 455/70, 630/471 i.e 35/32970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/70, 630/471.
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 455/70,630/471?
Given fractions are 455/70,630/471
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 455/70,630/471, numerators are 455,630
Denominators are 70,471
The GCF of 455,630 is 35 .
LCM of 70,471 is 32970.
The greatest common factor of 455/70,630/471 = [GCF of 455,630]/[LCM of 70,471]= 35/32970
Therefore, the GCF of 455/70,630/471 is 35/32970.
To find the highest common factor of 455,630, we have to find the factors of both numbers and list the highest common factor.
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The HCF of 455,630 is 35.
Lets's calculate GCF of 455,630
| 5 | 455, 630 |
| 7 | 91, 126 |
| 13, 18 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 455,630 By Matching Biggest Common Factor Method
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 455,630 . The biggest common factor number is the GCF number.
So the greatest common factor 455,630 is 35.
Lets's calculate LCM of 70,471
Given numbers has no common factors except 1. So, there LCM is their product i.e 32970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/32970
Therefore, the GCF of Fractions 455/70,630/471 is 35/32970
Least Common Multiple of 70,471 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 70,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,471) x common factors =1 x 1 = 1
LCM(70,471) = ( 70 × 471 ) / 1
LCM(70,471) = 32970 / 1
LCM(70,471) = 32970
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FAQs on GCF of Fractions of 455/70, 630/471
1. What is the HCF of 455,630?
The HCF of 455,630 is 35
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 455/70, 630/471?
Answer: GCF of Numerators as per given numbers 455/70, 630/471 is
GCF of Numerators i.e. for 455,630 is 35
LCM of denominators i.e. for 70,471 is 32970.
Thus, GCF of Fractions is 35/32970.Finally, GCF of Fractions for 455/70, 630/471 is 35/32970.