GCF of 5667/560, 2976/2812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5667/560, 2976/2812 i.e 3/393680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5667/560, 2976/2812.
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 5667/560,2976/2812?
Given fractions are 5667/560,2976/2812
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 5667/560,2976/2812, numerators are 5667,2976
Denominators are 560,2812
The GCF of 5667,2976 is 3 .
LCM of 560,2812 is 393680.
The greatest common factor of 5667/560,2976/2812 = [GCF of 5667,2976]/[LCM of 560,2812]= 3/393680
Therefore, the GCF of 5667/560,2976/2812 is 3/393680.
To find the highest common factor of 5667,2976, we have to find the factors of both numbers and list the highest common factor.
The factors of 5667 are 1, 3, 1889, 5667
The factors of 2976 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976
The HCF of 5667,2976 is 3.
Lets's calculate GCF of 5667,2976
| 3 | 5667, 2976 |
| 1889, 992 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5667,2976 By Matching Biggest Common Factor Method
Now, list down the factors of 5667
:1,3,1889,5667
Now, list down the factors of 2976
:1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976
Greatest Common Factor
We found the factors 5667,2976 . The biggest common factor number is the GCF number.
So the greatest common factor 5667,2976 is 3.
Lets's calculate LCM of 560,2812
| 2 | 560, 2812 |
| 2 | 280, 1406 |
| 140, 703 |
∴ So the LCM of the given numbers is 2 x 2 x 140 x 703 = 393680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/393680
Therefore, the GCF of Fractions 5667/560,2976/2812 is 3/393680
Least Common Multiple of 560,2812 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 560,2812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,2812) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(560,2812) x common factors =4 x 1 = 4
LCM(560,2812) = ( 560 × 2812 ) / 4
LCM(560,2812) = 1574720 / 4
LCM(560,2812) = 393680
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FAQs on GCF of Fractions of 5667/560, 2976/2812
1. What is the HCF of 5667,2976?
The HCF of 5667,2976 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 5667/560, 2976/2812?
Answer: GCF of Numerators as per given numbers 5667/560, 2976/2812 is
GCF of Numerators i.e. for 5667,2976 is 3
LCM of denominators i.e. for 560,2812 is 393680.
Thus, GCF of Fractions is 3/393680.Finally, GCF of Fractions for 5667/560, 2976/2812 is 3/393680.