GCF of 450/710, 4410/6715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 450/710, 4410/6715 i.e 90/953530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 450/710, 4410/6715.
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 450/710,4410/6715?
Given fractions are 450/710,4410/6715
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 450/710,4410/6715, numerators are 450,4410
Denominators are 710,6715
The GCF of 450,4410 is 90 .
LCM of 710,6715 is 953530.
The greatest common factor of 450/710,4410/6715 = [GCF of 450,4410]/[LCM of 710,6715]= 90/953530
Therefore, the GCF of 450/710,4410/6715 is 90/953530.
To find the highest common factor of 450,4410, we have to find the factors of both numbers and list the highest common factor.
The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
The factors of 4410 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 441, 490, 630, 735, 882, 1470, 2205, 4410
The HCF of 450,4410 is 90.
Lets's calculate GCF of 450,4410
| 2 | 450, 4410 |
| 3 | 225, 2205 |
| 3 | 75, 735 |
| 5 | 25, 245 |
| 5, 49 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 5 = 90
Greatest Common Factor of 450,4410 By Matching Biggest Common Factor Method
Now, list down the factors of 450
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Now, list down the factors of 4410
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,49,63,70,90,98,105,126,147,210,245,294,315,441,490,630,735,882,1470,2205,4410
Greatest Common Factor
We found the factors 450,4410 . The biggest common factor number is the GCF number.
So the greatest common factor 450,4410 is 90.
Lets's calculate LCM of 710,6715
| 5 | 710, 6715 |
| 142, 1343 |
∴ So the LCM of the given numbers is 5 x 142 x 1343 = 953530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 90/953530
Therefore, the GCF of Fractions 450/710,4410/6715 is 90/953530
Least Common Multiple of 710,6715 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 710,6715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,6715) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(710,6715) x common factors =5 x 1 = 5
LCM(710,6715) = ( 710 × 6715 ) / 5
LCM(710,6715) = 4767650 / 5
LCM(710,6715) = 953530
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FAQs on GCF of Fractions of 450/710, 4410/6715
1. What is the HCF of 450,4410?
The HCF of 450,4410 is 90
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 450/710, 4410/6715?
Answer: GCF of Numerators as per given numbers 450/710, 4410/6715 is
GCF of Numerators i.e. for 450,4410 is 90
LCM of denominators i.e. for 710,6715 is 953530.
Thus, GCF of Fractions is 90/953530.Finally, GCF of Fractions for 450/710, 4410/6715 is 90/953530.