GCF of 4495/936, 6989/417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4495/936, 6989/417 i.e 29/130104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4495/936, 6989/417.
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 4495/936,6989/417?
Given fractions are 4495/936,6989/417
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 4495/936,6989/417, numerators are 4495,6989
Denominators are 936,417
The GCF of 4495,6989 is 29 .
LCM of 936,417 is 130104.
The greatest common factor of 4495/936,6989/417 = [GCF of 4495,6989]/[LCM of 936,417]= 29/130104
Therefore, the GCF of 4495/936,6989/417 is 29/130104.
To find the highest common factor of 4495,6989, we have to find the factors of both numbers and list the highest common factor.
The factors of 4495 are 1, 5, 29, 31, 145, 155, 899, 4495
The factors of 6989 are 1, 29, 241, 6989
The HCF of 4495,6989 is 29.
Lets's calculate GCF of 4495,6989
| 29 | 4495, 6989 |
| 155, 241 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 4495,6989 By Matching Biggest Common Factor Method
Now, list down the factors of 4495
:1,5,29,31,145,155,899,4495
Now, list down the factors of 6989
:1,29,241,6989
Greatest Common Factor
We found the factors 4495,6989 . The biggest common factor number is the GCF number.
So the greatest common factor 4495,6989 is 29.
Lets's calculate LCM of 936,417
| 3 | 936, 417 |
| 312, 139 |
∴ So the LCM of the given numbers is 3 x 312 x 139 = 130104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/130104
Therefore, the GCF of Fractions 4495/936,6989/417 is 29/130104
Least Common Multiple of 936,417 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 936,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,417) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(936,417) x common factors =3 x 1 = 3
LCM(936,417) = ( 936 × 417 ) / 3
LCM(936,417) = 390312 / 3
LCM(936,417) = 130104
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FAQs on GCF of Fractions of 4495/936, 6989/417
1. What is the HCF of 4495,6989?
The HCF of 4495,6989 is 29
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 4495/936, 6989/417?
Answer: GCF of Numerators as per given numbers 4495/936, 6989/417 is
GCF of Numerators i.e. for 4495,6989 is 29
LCM of denominators i.e. for 936,417 is 130104.
Thus, GCF of Fractions is 29/130104.Finally, GCF of Fractions for 4495/936, 6989/417 is 29/130104.