GCF of 6328/641, 7656/9463
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6328/641, 7656/9463 i.e 8/6065783 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6328/641, 7656/9463.
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 6328/641,7656/9463?
Given fractions are 6328/641,7656/9463
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 6328/641,7656/9463, numerators are 6328,7656
Denominators are 641,9463
The GCF of 6328,7656 is 8 .
LCM of 641,9463 is 6065783.
The greatest common factor of 6328/641,7656/9463 = [GCF of 6328,7656]/[LCM of 641,9463]= 8/6065783
Therefore, the GCF of 6328/641,7656/9463 is 8/6065783.
To find the highest common factor of 6328,7656, we have to find the factors of both numbers and list the highest common factor.
The factors of 6328 are 1, 2, 4, 7, 8, 14, 28, 56, 113, 226, 452, 791, 904, 1582, 3164, 6328
The factors of 7656 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 132, 174, 232, 264, 319, 348, 638, 696, 957, 1276, 1914, 2552, 3828, 7656
The HCF of 6328,7656 is 8.
Lets's calculate GCF of 6328,7656
| 2 | 6328, 7656 |
| 2 | 3164, 3828 |
| 2 | 1582, 1914 |
| 791, 957 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 6328,7656 By Matching Biggest Common Factor Method
Now, list down the factors of 6328
:1,2,4,7,8,14,28,56,113,226,452,791,904,1582,3164,6328
Now, list down the factors of 7656
:1,2,3,4,6,8,11,12,22,24,29,33,44,58,66,87,88,116,132,174,232,264,319,348,638,696,957,1276,1914,2552,3828,7656
Greatest Common Factor
We found the factors 6328,7656 . The biggest common factor number is the GCF number.
So the greatest common factor 6328,7656 is 8.
Lets's calculate LCM of 641,9463
Given numbers has no common factors except 1. So, there LCM is their product i.e 6065783
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6065783
Therefore, the GCF of Fractions 6328/641,7656/9463 is 8/6065783
Least Common Multiple of 641,9463 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 641,9463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,9463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,9463) x common factors =1 x 1 = 1
LCM(641,9463) = ( 641 × 9463 ) / 1
LCM(641,9463) = 6065783 / 1
LCM(641,9463) = 6065783
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6328/641, 7656/9463
1. What is the HCF of 6328,7656?
The HCF of 6328,7656 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 6328/641, 7656/9463?
Answer: GCF of Numerators as per given numbers 6328/641, 7656/9463 is
GCF of Numerators i.e. for 6328,7656 is 8
LCM of denominators i.e. for 641,9463 is 6065783.
Thus, GCF of Fractions is 8/6065783.Finally, GCF of Fractions for 6328/641, 7656/9463 is 8/6065783.