GCF of 7270/896, 7915/2234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7270/896, 7915/2234 i.e 5/1000832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7270/896, 7915/2234.
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 7270/896,7915/2234?
Given fractions are 7270/896,7915/2234
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 7270/896,7915/2234, numerators are 7270,7915
Denominators are 896,2234
The GCF of 7270,7915 is 5 .
LCM of 896,2234 is 1000832.
The greatest common factor of 7270/896,7915/2234 = [GCF of 7270,7915]/[LCM of 896,2234]= 5/1000832
Therefore, the GCF of 7270/896,7915/2234 is 5/1000832.
To find the highest common factor of 7270,7915, we have to find the factors of both numbers and list the highest common factor.
The factors of 7270 are 1, 2, 5, 10, 727, 1454, 3635, 7270
The factors of 7915 are 1, 5, 1583, 7915
The HCF of 7270,7915 is 5.
Lets's calculate GCF of 7270,7915
| 5 | 7270, 7915 |
| 1454, 1583 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7270,7915 By Matching Biggest Common Factor Method
Now, list down the factors of 7270
:1,2,5,10,727,1454,3635,7270
Now, list down the factors of 7915
:1,5,1583,7915
Greatest Common Factor
We found the factors 7270,7915 . The biggest common factor number is the GCF number.
So the greatest common factor 7270,7915 is 5.
Lets's calculate LCM of 896,2234
| 2 | 896, 2234 |
| 448, 1117 |
∴ So the LCM of the given numbers is 2 x 448 x 1117 = 1000832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1000832
Therefore, the GCF of Fractions 7270/896,7915/2234 is 5/1000832
Least Common Multiple of 896,2234 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 896,2234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,2234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(896,2234) x common factors =2 x 1 = 2
LCM(896,2234) = ( 896 × 2234 ) / 2
LCM(896,2234) = 2001664 / 2
LCM(896,2234) = 1000832
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FAQs on GCF of Fractions of 7270/896, 7915/2234
1. What is the HCF of 7270,7915?
The HCF of 7270,7915 is 5
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 7270/896, 7915/2234?
Answer: GCF of Numerators as per given numbers 7270/896, 7915/2234 is
GCF of Numerators i.e. for 7270,7915 is 5
LCM of denominators i.e. for 896,2234 is 1000832.
Thus, GCF of Fractions is 5/1000832.Finally, GCF of Fractions for 7270/896, 7915/2234 is 5/1000832.