GCF of 8352/654, 2211/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8352/654, 2211/310 i.e 3/101370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8352/654, 2211/310.
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 8352/654,2211/310?
Given fractions are 8352/654,2211/310
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 8352/654,2211/310, numerators are 8352,2211
Denominators are 654,310
The GCF of 8352,2211 is 3 .
LCM of 654,310 is 101370.
The greatest common factor of 8352/654,2211/310 = [GCF of 8352,2211]/[LCM of 654,310]= 3/101370
Therefore, the GCF of 8352/654,2211/310 is 3/101370.
To find the highest common factor of 8352,2211, we have to find the factors of both numbers and list the highest common factor.
The factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352
The factors of 2211 are 1, 3, 11, 33, 67, 201, 737, 2211
The HCF of 8352,2211 is 3.
Lets's calculate GCF of 8352,2211
| 3 | 8352, 2211 |
| 2784, 737 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8352,2211 By Matching Biggest Common Factor Method
Now, list down the factors of 8352
:1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352
Now, list down the factors of 2211
:1,3,11,33,67,201,737,2211
Greatest Common Factor
We found the factors 8352,2211 . The biggest common factor number is the GCF number.
So the greatest common factor 8352,2211 is 3.
Lets's calculate LCM of 654,310
| 2 | 654, 310 |
| 327, 155 |
∴ So the LCM of the given numbers is 2 x 327 x 155 = 101370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/101370
Therefore, the GCF of Fractions 8352/654,2211/310 is 3/101370
Least Common Multiple of 654,310 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 654,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,310) x common factors =2 x 1 = 2
LCM(654,310) = ( 654 × 310 ) / 2
LCM(654,310) = 202740 / 2
LCM(654,310) = 101370
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FAQs on GCF of Fractions of 8352/654, 2211/310
1. What is the HCF of 8352,2211?
The HCF of 8352,2211 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 8352/654, 2211/310?
Answer: GCF of Numerators as per given numbers 8352/654, 2211/310 is
GCF of Numerators i.e. for 8352,2211 is 3
LCM of denominators i.e. for 654,310 is 101370.
Thus, GCF of Fractions is 3/101370.Finally, GCF of Fractions for 8352/654, 2211/310 is 3/101370.