GCF of 35/689, 49/433, 775/390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 35/689, 49/433, 775/390 i.e 1/8950110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/689, 49/433, 775/390.
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 35/689,49/433,775/390?
Given fractions are 35/689,49/433,775/390
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 35/689,49/433,775/390, numerators are 35,49,775
Denominators are 689,433,390
The GCF of 35,49,775 is 1 .
LCM of 689,433,390 is 8950110.
The greatest common factor of 35/689,49/433,775/390 = [GCF of 35,49,775]/[LCM of 689,433,390]= 1/8950110
Therefore, the GCF of 35/689,49/433,775/390 is 1/8950110.
To find the highest common factor of 35,49,775, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 49 are 1, 7, 49
The factors of 775 are 1, 5, 25, 31, 155, 775
The HCF of 35,49,775 is 1.
Lets's calculate GCF of 35,49,775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 35,49,775 By Matching Biggest Common Factor Method
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 775
:1,5,25,31,155,775
Greatest Common Factor
We found the factors 35,49,775 . The biggest common factor number is the GCF number.
So the greatest common factor 35,49,775 is 1.
Lets's calculate LCM of 689,433,390
| 13 | 689, 433, 390 |
| 53, 433, 30 |
∴ So the LCM of the given numbers is 13 x 53 x 433 x 30 = 8950110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8950110
Therefore, the GCF of Fractions 35/689,49/433,775/390 is 1/8950110
Least Common Multiple of 689,433,390 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 689,433,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,433,390) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(689,433,390) x common factors =1 x 13 = 13
LCM(689,433,390) = ( 689 × 433 × 390 ) / 13
LCM(689,433,390) = 116351430 / 13
LCM(689,433,390) = 8950110
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FAQs on GCF of Fractions of 35/689, 49/433, 775/390
1. What is the HCF of 35,49,775?
The HCF of 35,49,775 is 1
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 35/689, 49/433, 775/390?
Answer: GCF of Numerators as per given numbers 35/689, 49/433, 775/390 is
GCF of Numerators i.e. for 35,49,775 is 1
LCM of denominators i.e. for 689,433,390 is 8950110.
Thus, GCF of Fractions is 1/8950110.Finally, GCF of Fractions for 35/689, 49/433, 775/390 is 1/8950110.