GCF of 4631/634, 7230/4500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4631/634, 7230/4500 i.e 1/1426500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4631/634, 7230/4500.
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 4631/634,7230/4500?
Given fractions are 4631/634,7230/4500
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 4631/634,7230/4500, numerators are 4631,7230
Denominators are 634,4500
The GCF of 4631,7230 is 1 .
LCM of 634,4500 is 1426500.
The greatest common factor of 4631/634,7230/4500 = [GCF of 4631,7230]/[LCM of 634,4500]= 1/1426500
Therefore, the GCF of 4631/634,7230/4500 is 1/1426500.
To find the highest common factor of 4631,7230, we have to find the factors of both numbers and list the highest common factor.
The factors of 4631 are 1, 11, 421, 4631
The factors of 7230 are 1, 2, 3, 5, 6, 10, 15, 30, 241, 482, 723, 1205, 1446, 2410, 3615, 7230
The HCF of 4631,7230 is 1.
Lets's calculate GCF of 4631,7230
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4631,7230 By Matching Biggest Common Factor Method
Now, list down the factors of 4631
:1,11,421,4631
Now, list down the factors of 7230
:1,2,3,5,6,10,15,30,241,482,723,1205,1446,2410,3615,7230
Greatest Common Factor
We found the factors 4631,7230 . The biggest common factor number is the GCF number.
So the greatest common factor 4631,7230 is 1.
Lets's calculate LCM of 634,4500
| 2 | 634, 4500 |
| 317, 2250 |
∴ So the LCM of the given numbers is 2 x 317 x 2250 = 1426500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1426500
Therefore, the GCF of Fractions 4631/634,7230/4500 is 1/1426500
Least Common Multiple of 634,4500 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 634,4500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,4500) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,4500) x common factors =2 x 1 = 2
LCM(634,4500) = ( 634 × 4500 ) / 2
LCM(634,4500) = 2853000 / 2
LCM(634,4500) = 1426500
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FAQs on GCF of Fractions of 4631/634, 7230/4500
1. What is the HCF of 4631,7230?
The HCF of 4631,7230 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 4631/634, 7230/4500?
Answer: GCF of Numerators as per given numbers 4631/634, 7230/4500 is
GCF of Numerators i.e. for 4631,7230 is 1
LCM of denominators i.e. for 634,4500 is 1426500.
Thus, GCF of Fractions is 1/1426500.Finally, GCF of Fractions for 4631/634, 7230/4500 is 1/1426500.