GCF of 6630/176, 6280/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6630/176, 6280/322 i.e 10/28336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6630/176, 6280/322.
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 6630/176,6280/322?
Given fractions are 6630/176,6280/322
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 6630/176,6280/322, numerators are 6630,6280
Denominators are 176,322
The GCF of 6630,6280 is 10 .
LCM of 176,322 is 28336.
The greatest common factor of 6630/176,6280/322 = [GCF of 6630,6280]/[LCM of 176,322]= 10/28336
Therefore, the GCF of 6630/176,6280/322 is 10/28336.
To find the highest common factor of 6630,6280, we have to find the factors of both numbers and list the highest common factor.
The factors of 6630 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630
The factors of 6280 are 1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280
The HCF of 6630,6280 is 10.
Lets's calculate GCF of 6630,6280
| 2 | 6630, 6280 |
| 5 | 3315, 3140 |
| 663, 628 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6630,6280 By Matching Biggest Common Factor Method
Now, list down the factors of 6630
:1,2,3,5,6,10,13,15,17,26,30,34,39,51,65,78,85,102,130,170,195,221,255,390,442,510,663,1105,1326,2210,3315,6630
Now, list down the factors of 6280
:1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280
Greatest Common Factor
We found the factors 6630,6280 . The biggest common factor number is the GCF number.
So the greatest common factor 6630,6280 is 10.
Lets's calculate LCM of 176,322
| 2 | 176, 322 |
| 88, 161 |
∴ So the LCM of the given numbers is 2 x 88 x 161 = 28336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/28336
Therefore, the GCF of Fractions 6630/176,6280/322 is 10/28336
Least Common Multiple of 176,322 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 176,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,322) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(176,322) x common factors =2 x 1 = 2
LCM(176,322) = ( 176 × 322 ) / 2
LCM(176,322) = 56672 / 2
LCM(176,322) = 28336
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FAQs on GCF of Fractions of 6630/176, 6280/322
1. What is the HCF of 6630,6280?
The HCF of 6630,6280 is 10
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 6630/176, 6280/322?
Answer: GCF of Numerators as per given numbers 6630/176, 6280/322 is
GCF of Numerators i.e. for 6630,6280 is 10
LCM of denominators i.e. for 176,322 is 28336.
Thus, GCF of Fractions is 10/28336.Finally, GCF of Fractions for 6630/176, 6280/322 is 10/28336.