GCF of 7056/646, 6896/9831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7056/646, 6896/9831 i.e 16/6350826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7056/646, 6896/9831.
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 7056/646,6896/9831?
Given fractions are 7056/646,6896/9831
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 7056/646,6896/9831, numerators are 7056,6896
Denominators are 646,9831
The GCF of 7056,6896 is 16 .
LCM of 646,9831 is 6350826.
The greatest common factor of 7056/646,6896/9831 = [GCF of 7056,6896]/[LCM of 646,9831]= 16/6350826
Therefore, the GCF of 7056/646,6896/9831 is 16/6350826.
To find the highest common factor of 7056,6896, we have to find the factors of both numbers and list the highest common factor.
The factors of 7056 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528, 7056
The factors of 6896 are 1, 2, 4, 8, 16, 431, 862, 1724, 3448, 6896
The HCF of 7056,6896 is 16.
Lets's calculate GCF of 7056,6896
| 2 | 7056, 6896 |
| 2 | 3528, 3448 |
| 2 | 1764, 1724 |
| 2 | 882, 862 |
| 441, 431 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7056,6896 By Matching Biggest Common Factor Method
Now, list down the factors of 7056
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,49,56,63,72,84,98,112,126,144,147,168,196,252,294,336,392,441,504,588,784,882,1008,1176,1764,2352,3528,7056
Now, list down the factors of 6896
:1,2,4,8,16,431,862,1724,3448,6896
Greatest Common Factor
We found the factors 7056,6896 . The biggest common factor number is the GCF number.
So the greatest common factor 7056,6896 is 16.
Lets's calculate LCM of 646,9831
Given numbers has no common factors except 1. So, there LCM is their product i.e 6350826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/6350826
Therefore, the GCF of Fractions 7056/646,6896/9831 is 16/6350826
Least Common Multiple of 646,9831 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 646,9831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,9831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(646,9831) x common factors =1 x 1 = 1
LCM(646,9831) = ( 646 × 9831 ) / 1
LCM(646,9831) = 6350826 / 1
LCM(646,9831) = 6350826
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7056/646, 6896/9831
1. What is the HCF of 7056,6896?
The HCF of 7056,6896 is 16
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 7056/646, 6896/9831?
Answer: GCF of Numerators as per given numbers 7056/646, 6896/9831 is
GCF of Numerators i.e. for 7056,6896 is 16
LCM of denominators i.e. for 646,9831 is 6350826.
Thus, GCF of Fractions is 16/6350826.Finally, GCF of Fractions for 7056/646, 6896/9831 is 16/6350826.