GCF of 3381/640, 8624/7665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3381/640, 8624/7665 i.e 49/981120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3381/640, 8624/7665.
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 3381/640,8624/7665?
Given fractions are 3381/640,8624/7665
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 3381/640,8624/7665, numerators are 3381,8624
Denominators are 640,7665
The GCF of 3381,8624 is 49 .
LCM of 640,7665 is 981120.
The greatest common factor of 3381/640,8624/7665 = [GCF of 3381,8624]/[LCM of 640,7665]= 49/981120
Therefore, the GCF of 3381/640,8624/7665 is 49/981120.
To find the highest common factor of 3381,8624, we have to find the factors of both numbers and list the highest common factor.
The factors of 3381 are 1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381
The factors of 8624 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312, 8624
The HCF of 3381,8624 is 49.
Lets's calculate GCF of 3381,8624
| 7 | 3381, 8624 |
| 7 | 483, 1232 |
| 69, 176 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 3381,8624 By Matching Biggest Common Factor Method
Now, list down the factors of 3381
:1,3,7,21,23,49,69,147,161,483,1127,3381
Now, list down the factors of 8624
:1,2,4,7,8,11,14,16,22,28,44,49,56,77,88,98,112,154,176,196,308,392,539,616,784,1078,1232,2156,4312,8624
Greatest Common Factor
We found the factors 3381,8624 . The biggest common factor number is the GCF number.
So the greatest common factor 3381,8624 is 49.
Lets's calculate LCM of 640,7665
| 5 | 640, 7665 |
| 128, 1533 |
∴ So the LCM of the given numbers is 5 x 128 x 1533 = 981120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/981120
Therefore, the GCF of Fractions 3381/640,8624/7665 is 49/981120
Least Common Multiple of 640,7665 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 640,7665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,7665) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(640,7665) x common factors =5 x 1 = 5
LCM(640,7665) = ( 640 × 7665 ) / 5
LCM(640,7665) = 4905600 / 5
LCM(640,7665) = 981120
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FAQs on GCF of Fractions of 3381/640, 8624/7665
1. What is the HCF of 3381,8624?
The HCF of 3381,8624 is 49
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 3381/640, 8624/7665?
Answer: GCF of Numerators as per given numbers 3381/640, 8624/7665 is
GCF of Numerators i.e. for 3381,8624 is 49
LCM of denominators i.e. for 640,7665 is 981120.
Thus, GCF of Fractions is 49/981120.Finally, GCF of Fractions for 3381/640, 8624/7665 is 49/981120.