GCF of 6573/647, 4920/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6573/647, 4920/210 i.e 3/135870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6573/647, 4920/210.
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 6573/647,4920/210?
Given fractions are 6573/647,4920/210
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 6573/647,4920/210, numerators are 6573,4920
Denominators are 647,210
The GCF of 6573,4920 is 3 .
LCM of 647,210 is 135870.
The greatest common factor of 6573/647,4920/210 = [GCF of 6573,4920]/[LCM of 647,210]= 3/135870
Therefore, the GCF of 6573/647,4920/210 is 3/135870.
To find the highest common factor of 6573,4920, we have to find the factors of both numbers and list the highest common factor.
The factors of 6573 are 1, 3, 7, 21, 313, 939, 2191, 6573
The factors of 4920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920
The HCF of 6573,4920 is 3.
Lets's calculate GCF of 6573,4920
| 3 | 6573, 4920 |
| 2191, 1640 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6573,4920 By Matching Biggest Common Factor Method
Now, list down the factors of 6573
:1,3,7,21,313,939,2191,6573
Now, list down the factors of 4920
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,41,60,82,120,123,164,205,246,328,410,492,615,820,984,1230,1640,2460,4920
Greatest Common Factor
We found the factors 6573,4920 . The biggest common factor number is the GCF number.
So the greatest common factor 6573,4920 is 3.
Lets's calculate LCM of 647,210
Given numbers has no common factors except 1. So, there LCM is their product i.e 135870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/135870
Therefore, the GCF of Fractions 6573/647,4920/210 is 3/135870
Least Common Multiple of 647,210 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 647,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,210) x common factors =1 x 1 = 1
LCM(647,210) = ( 647 × 210 ) / 1
LCM(647,210) = 135870 / 1
LCM(647,210) = 135870
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FAQs on GCF of Fractions of 6573/647, 4920/210
1. What is the HCF of 6573,4920?
The HCF of 6573,4920 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 6573/647, 4920/210?
Answer: GCF of Numerators as per given numbers 6573/647, 4920/210 is
GCF of Numerators i.e. for 6573,4920 is 3
LCM of denominators i.e. for 647,210 is 135870.
Thus, GCF of Fractions is 3/135870.Finally, GCF of Fractions for 6573/647, 4920/210 is 3/135870.