GCF of 770/250, 350/817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 770/250, 350/817 i.e 70/204250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/250, 350/817.
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 770/250,350/817?
Given fractions are 770/250,350/817
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 770/250,350/817, numerators are 770,350
Denominators are 250,817
The GCF of 770,350 is 70 .
LCM of 250,817 is 204250.
The greatest common factor of 770/250,350/817 = [GCF of 770,350]/[LCM of 250,817]= 70/204250
Therefore, the GCF of 770/250,350/817 is 70/204250.
To find the highest common factor of 770,350, we have to find the factors of both numbers and list the highest common factor.
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
The HCF of 770,350 is 70.
Lets's calculate GCF of 770,350
| 2 | 770, 350 |
| 5 | 385, 175 |
| 7 | 77, 35 |
| 11, 5 |
∴ So the GCF of the given numbers is 2 x 5 x 7 = 70
Greatest Common Factor of 770,350 By Matching Biggest Common Factor Method
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Now, list down the factors of 350
:1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 770,350 . The biggest common factor number is the GCF number.
So the greatest common factor 770,350 is 70.
Lets's calculate LCM of 250,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 204250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/204250
Therefore, the GCF of Fractions 770/250,350/817 is 70/204250
Least Common Multiple of 250,817 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 250,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,817) x common factors =1 x 1 = 1
LCM(250,817) = ( 250 × 817 ) / 1
LCM(250,817) = 204250 / 1
LCM(250,817) = 204250
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FAQs on GCF of Fractions of 770/250, 350/817
1. What is the HCF of 770,350?
The HCF of 770,350 is 70
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 770/250, 350/817?
Answer: GCF of Numerators as per given numbers 770/250, 350/817 is
GCF of Numerators i.e. for 770,350 is 70
LCM of denominators i.e. for 250,817 is 204250.
Thus, GCF of Fractions is 70/204250.Finally, GCF of Fractions for 770/250, 350/817 is 70/204250.