GCF of 7600/707, 2176/495
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7600/707, 2176/495 i.e 16/349965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7600/707, 2176/495.
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 7600/707,2176/495?
Given fractions are 7600/707,2176/495
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 7600/707,2176/495, numerators are 7600,2176
Denominators are 707,495
The GCF of 7600,2176 is 16 .
LCM of 707,495 is 349965.
The greatest common factor of 7600/707,2176/495 = [GCF of 7600,2176]/[LCM of 707,495]= 16/349965
Therefore, the GCF of 7600/707,2176/495 is 16/349965.
To find the highest common factor of 7600,2176, we have to find the factors of both numbers and list the highest common factor.
The factors of 7600 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600
The factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176
The HCF of 7600,2176 is 16.
Lets's calculate GCF of 7600,2176
| 2 | 7600, 2176 |
| 2 | 3800, 1088 |
| 2 | 1900, 544 |
| 2 | 950, 272 |
| 475, 136 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7600,2176 By Matching Biggest Common Factor Method
Now, list down the factors of 7600
:1,2,4,5,8,10,16,19,20,25,38,40,50,76,80,95,100,152,190,200,304,380,400,475,760,950,1520,1900,3800,7600
Now, list down the factors of 2176
:1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176
Greatest Common Factor
We found the factors 7600,2176 . The biggest common factor number is the GCF number.
So the greatest common factor 7600,2176 is 16.
Lets's calculate LCM of 707,495
Given numbers has no common factors except 1. So, there LCM is their product i.e 349965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/349965
Therefore, the GCF of Fractions 7600/707,2176/495 is 16/349965
Least Common Multiple of 707,495 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 707,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,495) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,495) x common factors =1 x 1 = 1
LCM(707,495) = ( 707 × 495 ) / 1
LCM(707,495) = 349965 / 1
LCM(707,495) = 349965
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FAQs on GCF of Fractions of 7600/707, 2176/495
1. What is the HCF of 7600,2176?
The HCF of 7600,2176 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 7600/707, 2176/495?
Answer: GCF of Numerators as per given numbers 7600/707, 2176/495 is
GCF of Numerators i.e. for 7600,2176 is 16
LCM of denominators i.e. for 707,495 is 349965.
Thus, GCF of Fractions is 16/349965.Finally, GCF of Fractions for 7600/707, 2176/495 is 16/349965.