GCF of 4288/667, 2760/7611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4288/667, 2760/7611 i.e 8/5076537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4288/667, 2760/7611.
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 4288/667,2760/7611?
Given fractions are 4288/667,2760/7611
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 4288/667,2760/7611, numerators are 4288,2760
Denominators are 667,7611
The GCF of 4288,2760 is 8 .
LCM of 667,7611 is 5076537.
The greatest common factor of 4288/667,2760/7611 = [GCF of 4288,2760]/[LCM of 667,7611]= 8/5076537
Therefore, the GCF of 4288/667,2760/7611 is 8/5076537.
To find the highest common factor of 4288,2760, we have to find the factors of both numbers and list the highest common factor.
The factors of 4288 are 1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288
The factors of 2760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760
The HCF of 4288,2760 is 8.
Lets's calculate GCF of 4288,2760
| 2 | 4288, 2760 |
| 2 | 2144, 1380 |
| 2 | 1072, 690 |
| 536, 345 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4288,2760 By Matching Biggest Common Factor Method
Now, list down the factors of 4288
:1,2,4,8,16,32,64,67,134,268,536,1072,2144,4288
Now, list down the factors of 2760
:1,2,3,4,5,6,8,10,12,15,20,23,24,30,40,46,60,69,92,115,120,138,184,230,276,345,460,552,690,920,1380,2760
Greatest Common Factor
We found the factors 4288,2760 . The biggest common factor number is the GCF number.
So the greatest common factor 4288,2760 is 8.
Lets's calculate LCM of 667,7611
Given numbers has no common factors except 1. So, there LCM is their product i.e 5076537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5076537
Therefore, the GCF of Fractions 4288/667,2760/7611 is 8/5076537
Least Common Multiple of 667,7611 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 667,7611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,7611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,7611) x common factors =1 x 1 = 1
LCM(667,7611) = ( 667 × 7611 ) / 1
LCM(667,7611) = 5076537 / 1
LCM(667,7611) = 5076537
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FAQs on GCF of Fractions of 4288/667, 2760/7611
1. What is the HCF of 4288,2760?
The HCF of 4288,2760 is 8
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 4288/667, 2760/7611?
Answer: GCF of Numerators as per given numbers 4288/667, 2760/7611 is
GCF of Numerators i.e. for 4288,2760 is 8
LCM of denominators i.e. for 667,7611 is 5076537.
Thus, GCF of Fractions is 8/5076537.Finally, GCF of Fractions for 4288/667, 2760/7611 is 8/5076537.