GCF of 770/85, 825/5422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 770/85, 825/5422 i.e 55/460870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/85, 825/5422.
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 770/85,825/5422?
Given fractions are 770/85,825/5422
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 770/85,825/5422, numerators are 770,825
Denominators are 85,5422
The GCF of 770,825 is 55 .
LCM of 85,5422 is 460870.
The greatest common factor of 770/85,825/5422 = [GCF of 770,825]/[LCM of 85,5422]= 55/460870
Therefore, the GCF of 770/85,825/5422 is 55/460870.
To find the highest common factor of 770,825, 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 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The HCF of 770,825 is 55.
Lets's calculate GCF of 770,825
| 5 | 770, 825 |
| 11 | 154, 165 |
| 14, 15 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 770,825 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 825
:1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 770,825 . The biggest common factor number is the GCF number.
So the greatest common factor 770,825 is 55.
Lets's calculate LCM of 85,5422
Given numbers has no common factors except 1. So, there LCM is their product i.e 460870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/460870
Therefore, the GCF of Fractions 770/85,825/5422 is 55/460870
Least Common Multiple of 85,5422 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 85,5422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,5422) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,5422) x common factors =1 x 1 = 1
LCM(85,5422) = ( 85 × 5422 ) / 1
LCM(85,5422) = 460870 / 1
LCM(85,5422) = 460870
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FAQs on GCF of Fractions of 770/85, 825/5422
1. What is the HCF of 770,825?
The HCF of 770,825 is 55
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 770/85, 825/5422?
Answer: GCF of Numerators as per given numbers 770/85, 825/5422 is
GCF of Numerators i.e. for 770,825 is 55
LCM of denominators i.e. for 85,5422 is 460870.
Thus, GCF of Fractions is 55/460870.Finally, GCF of Fractions for 770/85, 825/5422 is 55/460870.