GCF of 7244/977, 7280/5211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7244/977, 7280/5211 i.e 4/5091147 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7244/977, 7280/5211.
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 7244/977,7280/5211?
Given fractions are 7244/977,7280/5211
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 7244/977,7280/5211, numerators are 7244,7280
Denominators are 977,5211
The GCF of 7244,7280 is 4 .
LCM of 977,5211 is 5091147.
The greatest common factor of 7244/977,7280/5211 = [GCF of 7244,7280]/[LCM of 977,5211]= 4/5091147
Therefore, the GCF of 7244/977,7280/5211 is 4/5091147.
To find the highest common factor of 7244,7280, we have to find the factors of both numbers and list the highest common factor.
The factors of 7244 are 1, 2, 4, 1811, 3622, 7244
The factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280
The HCF of 7244,7280 is 4.
Lets's calculate GCF of 7244,7280
| 2 | 7244, 7280 |
| 2 | 3622, 3640 |
| 1811, 1820 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7244,7280 By Matching Biggest Common Factor Method
Now, list down the factors of 7244
:1,2,4,1811,3622,7244
Now, list down the factors of 7280
:1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280
Greatest Common Factor
We found the factors 7244,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 7244,7280 is 4.
Lets's calculate LCM of 977,5211
Given numbers has no common factors except 1. So, there LCM is their product i.e 5091147
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5091147
Therefore, the GCF of Fractions 7244/977,7280/5211 is 4/5091147
Least Common Multiple of 977,5211 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 977,5211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,5211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,5211) x common factors =1 x 1 = 1
LCM(977,5211) = ( 977 × 5211 ) / 1
LCM(977,5211) = 5091147 / 1
LCM(977,5211) = 5091147
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FAQs on GCF of Fractions of 7244/977, 7280/5211
1. What is the HCF of 7244,7280?
The HCF of 7244,7280 is 4
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 7244/977, 7280/5211?
Answer: GCF of Numerators as per given numbers 7244/977, 7280/5211 is
GCF of Numerators i.e. for 7244,7280 is 4
LCM of denominators i.e. for 977,5211 is 5091147.
Thus, GCF of Fractions is 4/5091147.Finally, GCF of Fractions for 7244/977, 7280/5211 is 4/5091147.