GCF of 695/64, 417/328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 695/64, 417/328 i.e 139/2624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 695/64, 417/328.
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 695/64,417/328?
Given fractions are 695/64,417/328
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 695/64,417/328, numerators are 695,417
Denominators are 64,328
The GCF of 695,417 is 139 .
LCM of 64,328 is 2624.
The greatest common factor of 695/64,417/328 = [GCF of 695,417]/[LCM of 64,328]= 139/2624
Therefore, the GCF of 695/64,417/328 is 139/2624.
To find the highest common factor of 695,417, 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 417 are 1, 3, 139, 417
The HCF of 695,417 is 139.
Lets's calculate GCF of 695,417
| 139 | 695, 417 |
| 5, 3 |
∴ So the GCF of the given numbers is 139 = 139
Greatest Common Factor of 695,417 By Matching Biggest Common Factor Method
Now, list down the factors of 695
:1,5,139,695
Now, list down the factors of 417
:1,3,139,417
Greatest Common Factor
We found the factors 695,417 . The biggest common factor number is the GCF number.
So the greatest common factor 695,417 is 139.
Lets's calculate LCM of 64,328
| 2 | 64, 328 |
| 2 | 32, 164 |
| 2 | 16, 82 |
| 8, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 41 = 2624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 139/2624
Therefore, the GCF of Fractions 695/64,417/328 is 139/2624
Least Common Multiple of 64,328 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 64,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,328) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(64,328) x common factors =8 x 1 = 8
LCM(64,328) = ( 64 × 328 ) / 8
LCM(64,328) = 20992 / 8
LCM(64,328) = 2624
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FAQs on GCF of Fractions of 695/64, 417/328
1. What is the HCF of 695,417?
The HCF of 695,417 is 139
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 695/64, 417/328?
Answer: GCF of Numerators as per given numbers 695/64, 417/328 is
GCF of Numerators i.e. for 695,417 is 139
LCM of denominators i.e. for 64,328 is 2624.
Thus, GCF of Fractions is 139/2624.Finally, GCF of Fractions for 695/64, 417/328 is 139/2624.