GCF of 8522/704, 7168/697
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8522/704, 7168/697 i.e 2/490688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8522/704, 7168/697.
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 8522/704,7168/697?
Given fractions are 8522/704,7168/697
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 8522/704,7168/697, numerators are 8522,7168
Denominators are 704,697
The GCF of 8522,7168 is 2 .
LCM of 704,697 is 490688.
The greatest common factor of 8522/704,7168/697 = [GCF of 8522,7168]/[LCM of 704,697]= 2/490688
Therefore, the GCF of 8522/704,7168/697 is 2/490688.
To find the highest common factor of 8522,7168, we have to find the factors of both numbers and list the highest common factor.
The factors of 8522 are 1, 2, 4261, 8522
The factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168
The HCF of 8522,7168 is 2.
Lets's calculate GCF of 8522,7168
| 2 | 8522, 7168 |
| 4261, 3584 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8522,7168 By Matching Biggest Common Factor Method
Now, list down the factors of 8522
:1,2,4261,8522
Now, list down the factors of 7168
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168
Greatest Common Factor
We found the factors 8522,7168 . The biggest common factor number is the GCF number.
So the greatest common factor 8522,7168 is 2.
Lets's calculate LCM of 704,697
Given numbers has no common factors except 1. So, there LCM is their product i.e 490688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/490688
Therefore, the GCF of Fractions 8522/704,7168/697 is 2/490688
Least Common Multiple of 704,697 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 704,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,697) x common factors =1 x 1 = 1
LCM(704,697) = ( 704 × 697 ) / 1
LCM(704,697) = 490688 / 1
LCM(704,697) = 490688
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FAQs on GCF of Fractions of 8522/704, 7168/697
1. What is the HCF of 8522,7168?
The HCF of 8522,7168 is 2
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 8522/704, 7168/697?
Answer: GCF of Numerators as per given numbers 8522/704, 7168/697 is
GCF of Numerators i.e. for 8522,7168 is 2
LCM of denominators i.e. for 704,697 is 490688.
Thus, GCF of Fractions is 2/490688.Finally, GCF of Fractions for 8522/704, 7168/697 is 2/490688.