GCF of 5520/281, 7946/223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5520/281, 7946/223 i.e 2/62663 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5520/281, 7946/223.
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 5520/281,7946/223?
Given fractions are 5520/281,7946/223
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 5520/281,7946/223, numerators are 5520,7946
Denominators are 281,223
The GCF of 5520,7946 is 2 .
LCM of 281,223 is 62663.
The greatest common factor of 5520/281,7946/223 = [GCF of 5520,7946]/[LCM of 281,223]= 2/62663
Therefore, the GCF of 5520/281,7946/223 is 2/62663.
To find the highest common factor of 5520,7946, we have to find the factors of both numbers and list the highest common factor.
The factors of 5520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520
The factors of 7946 are 1, 2, 29, 58, 137, 274, 3973, 7946
The HCF of 5520,7946 is 2.
Lets's calculate GCF of 5520,7946
| 2 | 5520, 7946 |
| 2760, 3973 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5520,7946 By Matching Biggest Common Factor Method
Now, list down the factors of 5520
:1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520
Now, list down the factors of 7946
:1,2,29,58,137,274,3973,7946
Greatest Common Factor
We found the factors 5520,7946 . The biggest common factor number is the GCF number.
So the greatest common factor 5520,7946 is 2.
Lets's calculate LCM of 281,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 62663
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62663
Therefore, the GCF of Fractions 5520/281,7946/223 is 2/62663
Least Common Multiple of 281,223 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 281,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,223) x common factors =1 x 1 = 1
LCM(281,223) = ( 281 × 223 ) / 1
LCM(281,223) = 62663 / 1
LCM(281,223) = 62663
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FAQs on GCF of Fractions of 5520/281, 7946/223
1. What is the HCF of 5520,7946?
The HCF of 5520,7946 is 2
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 5520/281, 7946/223?
Answer: GCF of Numerators as per given numbers 5520/281, 7946/223 is
GCF of Numerators i.e. for 5520,7946 is 2
LCM of denominators i.e. for 281,223 is 62663.
Thus, GCF of Fractions is 2/62663.Finally, GCF of Fractions for 5520/281, 7946/223 is 2/62663.