GCF of 6560/735, 8522/119
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6560/735, 8522/119 i.e 2/12495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6560/735, 8522/119.
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 6560/735,8522/119?
Given fractions are 6560/735,8522/119
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 6560/735,8522/119, numerators are 6560,8522
Denominators are 735,119
The GCF of 6560,8522 is 2 .
LCM of 735,119 is 12495.
The greatest common factor of 6560/735,8522/119 = [GCF of 6560,8522]/[LCM of 735,119]= 2/12495
Therefore, the GCF of 6560/735,8522/119 is 2/12495.
To find the highest common factor of 6560,8522, we have to find the factors of both numbers and list the highest common factor.
The factors of 6560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280, 6560
The factors of 8522 are 1, 2, 4261, 8522
The HCF of 6560,8522 is 2.
Lets's calculate GCF of 6560,8522
| 2 | 6560, 8522 |
| 3280, 4261 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6560,8522 By Matching Biggest Common Factor Method
Now, list down the factors of 6560
:1,2,4,5,8,10,16,20,32,40,41,80,82,160,164,205,328,410,656,820,1312,1640,3280,6560
Now, list down the factors of 8522
:1,2,4261,8522
Greatest Common Factor
We found the factors 6560,8522 . The biggest common factor number is the GCF number.
So the greatest common factor 6560,8522 is 2.
Lets's calculate LCM of 735,119
| 7 | 735, 119 |
| 105, 17 |
∴ So the LCM of the given numbers is 7 x 105 x 17 = 12495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12495
Therefore, the GCF of Fractions 6560/735,8522/119 is 2/12495
Least Common Multiple of 735,119 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 735,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,119) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(735,119) x common factors =7 x 1 = 7
LCM(735,119) = ( 735 × 119 ) / 7
LCM(735,119) = 87465 / 7
LCM(735,119) = 12495
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FAQs on GCF of Fractions of 6560/735, 8522/119
1. What is the HCF of 6560,8522?
The HCF of 6560,8522 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 6560/735, 8522/119?
Answer: GCF of Numerators as per given numbers 6560/735, 8522/119 is
GCF of Numerators i.e. for 6560,8522 is 2
LCM of denominators i.e. for 735,119 is 12495.
Thus, GCF of Fractions is 2/12495.Finally, GCF of Fractions for 6560/735, 8522/119 is 2/12495.