GCF of 8853/306, 1470/4808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8853/306, 1470/4808 i.e 3/735624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8853/306, 1470/4808.
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 8853/306,1470/4808?
Given fractions are 8853/306,1470/4808
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 8853/306,1470/4808, numerators are 8853,1470
Denominators are 306,4808
The GCF of 8853,1470 is 3 .
LCM of 306,4808 is 735624.
The greatest common factor of 8853/306,1470/4808 = [GCF of 8853,1470]/[LCM of 306,4808]= 3/735624
Therefore, the GCF of 8853/306,1470/4808 is 3/735624.
To find the highest common factor of 8853,1470, we have to find the factors of both numbers and list the highest common factor.
The factors of 8853 are 1, 3, 13, 39, 227, 681, 2951, 8853
The factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470
The HCF of 8853,1470 is 3.
Lets's calculate GCF of 8853,1470
| 3 | 8853, 1470 |
| 2951, 490 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8853,1470 By Matching Biggest Common Factor Method
Now, list down the factors of 8853
:1,3,13,39,227,681,2951,8853
Now, list down the factors of 1470
:1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470
Greatest Common Factor
We found the factors 8853,1470 . The biggest common factor number is the GCF number.
So the greatest common factor 8853,1470 is 3.
Lets's calculate LCM of 306,4808
| 2 | 306, 4808 |
| 153, 2404 |
∴ So the LCM of the given numbers is 2 x 153 x 2404 = 735624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/735624
Therefore, the GCF of Fractions 8853/306,1470/4808 is 3/735624
Least Common Multiple of 306,4808 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 306,4808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,4808) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,4808) x common factors =2 x 1 = 2
LCM(306,4808) = ( 306 × 4808 ) / 2
LCM(306,4808) = 1471248 / 2
LCM(306,4808) = 735624
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FAQs on GCF of Fractions of 8853/306, 1470/4808
1. What is the HCF of 8853,1470?
The HCF of 8853,1470 is 3
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 8853/306, 1470/4808?
Answer: GCF of Numerators as per given numbers 8853/306, 1470/4808 is
GCF of Numerators i.e. for 8853,1470 is 3
LCM of denominators i.e. for 306,4808 is 735624.
Thus, GCF of Fractions is 3/735624.Finally, GCF of Fractions for 8853/306, 1470/4808 is 3/735624.