GCF of 895/596, 5370/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 895/596, 5370/412 i.e 895/61388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 895/596, 5370/412.
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 895/596,5370/412?
Given fractions are 895/596,5370/412
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 895/596,5370/412, numerators are 895,5370
Denominators are 596,412
The GCF of 895,5370 is 895 .
LCM of 596,412 is 61388.
The greatest common factor of 895/596,5370/412 = [GCF of 895,5370]/[LCM of 596,412]= 895/61388
Therefore, the GCF of 895/596,5370/412 is 895/61388.
To find the highest common factor of 895,5370, we have to find the factors of both numbers and list the highest common factor.
The factors of 895 are 1, 5, 179, 895
The factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370
The HCF of 895,5370 is 895.
Lets's calculate GCF of 895,5370
| 5 | 895, 5370 |
| 179 | 179, 1074 |
| 1, 6 |
∴ So the GCF of the given numbers is 5 x 179 = 895
Greatest Common Factor of 895,5370 By Matching Biggest Common Factor Method
Now, list down the factors of 895
:1,5,179,895
Now, list down the factors of 5370
:1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370
Greatest Common Factor
We found the factors 895,5370 . The biggest common factor number is the GCF number.
So the greatest common factor 895,5370 is 895.
Lets's calculate LCM of 596,412
| 2 | 596, 412 |
| 2 | 298, 206 |
| 149, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 149 x 103 = 61388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 895/61388
Therefore, the GCF of Fractions 895/596,5370/412 is 895/61388
Least Common Multiple of 596,412 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 596,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,412) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(596,412) x common factors =4 x 1 = 4
LCM(596,412) = ( 596 × 412 ) / 4
LCM(596,412) = 245552 / 4
LCM(596,412) = 61388
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FAQs on GCF of Fractions of 895/596, 5370/412
1. What is the HCF of 895,5370?
The HCF of 895,5370 is 895
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 895/596, 5370/412?
Answer: GCF of Numerators as per given numbers 895/596, 5370/412 is
GCF of Numerators i.e. for 895,5370 is 895
LCM of denominators i.e. for 596,412 is 61388.
Thus, GCF of Fractions is 895/61388.Finally, GCF of Fractions for 895/596, 5370/412 is 895/61388.