GCF of 5620/875, 7096/304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5620/875, 7096/304 i.e 4/266000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5620/875, 7096/304.
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 5620/875,7096/304?
Given fractions are 5620/875,7096/304
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 5620/875,7096/304, numerators are 5620,7096
Denominators are 875,304
The GCF of 5620,7096 is 4 .
LCM of 875,304 is 266000.
The greatest common factor of 5620/875,7096/304 = [GCF of 5620,7096]/[LCM of 875,304]= 4/266000
Therefore, the GCF of 5620/875,7096/304 is 4/266000.
To find the highest common factor of 5620,7096, we have to find the factors of both numbers and list the highest common factor.
The factors of 5620 are 1, 2, 4, 5, 10, 20, 281, 562, 1124, 1405, 2810, 5620
The factors of 7096 are 1, 2, 4, 8, 887, 1774, 3548, 7096
The HCF of 5620,7096 is 4.
Lets's calculate GCF of 5620,7096
| 2 | 5620, 7096 |
| 2 | 2810, 3548 |
| 1405, 1774 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5620,7096 By Matching Biggest Common Factor Method
Now, list down the factors of 5620
:1,2,4,5,10,20,281,562,1124,1405,2810,5620
Now, list down the factors of 7096
:1,2,4,8,887,1774,3548,7096
Greatest Common Factor
We found the factors 5620,7096 . The biggest common factor number is the GCF number.
So the greatest common factor 5620,7096 is 4.
Lets's calculate LCM of 875,304
Given numbers has no common factors except 1. So, there LCM is their product i.e 266000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/266000
Therefore, the GCF of Fractions 5620/875,7096/304 is 4/266000
Least Common Multiple of 875,304 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 875,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,304) x common factors =1 x 1 = 1
LCM(875,304) = ( 875 × 304 ) / 1
LCM(875,304) = 266000 / 1
LCM(875,304) = 266000
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FAQs on GCF of Fractions of 5620/875, 7096/304
1. What is the HCF of 5620,7096?
The HCF of 5620,7096 is 4
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 5620/875, 7096/304?
Answer: GCF of Numerators as per given numbers 5620/875, 7096/304 is
GCF of Numerators i.e. for 5620,7096 is 4
LCM of denominators i.e. for 875,304 is 266000.
Thus, GCF of Fractions is 4/266000.Finally, GCF of Fractions for 5620/875, 7096/304 is 4/266000.