GCF of 695/224, 370/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 695/224, 370/309 i.e 5/69216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 695/224, 370/309.
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 695/224,370/309?
Given fractions are 695/224,370/309
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 695/224,370/309, numerators are 695,370
Denominators are 224,309
The GCF of 695,370 is 5 .
LCM of 224,309 is 69216.
The greatest common factor of 695/224,370/309 = [GCF of 695,370]/[LCM of 224,309]= 5/69216
Therefore, the GCF of 695/224,370/309 is 5/69216.
To find the highest common factor of 695,370, we have to find the factors of both numbers and list the highest common factor.
The factors of 695 are 1, 5, 139, 695
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The HCF of 695,370 is 5.
Lets's calculate GCF of 695,370
| 5 | 695, 370 |
| 139, 74 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 695,370 By Matching Biggest Common Factor Method
Now, list down the factors of 695
:1,5,139,695
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 695,370 . The biggest common factor number is the GCF number.
So the greatest common factor 695,370 is 5.
Lets's calculate LCM of 224,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 69216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/69216
Therefore, the GCF of Fractions 695/224,370/309 is 5/69216
Least Common Multiple of 224,309 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 224,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,309) x common factors =1 x 1 = 1
LCM(224,309) = ( 224 × 309 ) / 1
LCM(224,309) = 69216 / 1
LCM(224,309) = 69216
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FAQs on GCF of Fractions of 695/224, 370/309
1. What is the HCF of 695,370?
The HCF of 695,370 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 695/224, 370/309?
Answer: GCF of Numerators as per given numbers 695/224, 370/309 is
GCF of Numerators i.e. for 695,370 is 5
LCM of denominators i.e. for 224,309 is 69216.
Thus, GCF of Fractions is 5/69216.Finally, GCF of Fractions for 695/224, 370/309 is 5/69216.