How to Find GCF of 770/846, 286/990?

GCF of 770/846, 286/990

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 770/846, 286/990 i.e 22/46530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/846, 286/990.

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 770/846,286/990?

Given fractions are 770/846,286/990

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 770/846,286/990, numerators are 770,286

Denominators are 846,990

The GCF of 770,286 is 22 .

LCM of 846,990 is 46530.

The greatest common factor of 770/846,286/990 = [GCF of 770,286]/[LCM of 846,990]= 22/46530

Therefore, the GCF of 770/846,286/990 is 22/46530.

Greatest Common Factor of 770,286

To find the highest common factor of 770,286, 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 286 are 1, 2, 11, 13, 22, 26, 143, 286

The HCF of 770,286 is 22.

Lets's calculate GCF of 770,286

Greatest Common Factor (GCF) of 770,286 By Common Division

2	770, 286
11	385, 143
	35, 13

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 770,286 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 286

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 770,286 . The biggest common factor number is the GCF number.
So the greatest common factor 770,286 is 22.

Lets's calculate LCM of 846,990

Lowest Common Multiple of 846,990 using Common Division

2	846, 990
3	423, 495
3	141, 165
	47, 55

∴ So the LCM of the given numbers is 2 x 3 x 3 x 47 x 55 = 46530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/46530

Therefore, the GCF of Fractions 770/846,286/990 is 22/46530

Least Common Multiple of 846,990 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 846,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,990) = 18

common factors(in case of two or more numbers have common factors) = 1

GCF(846,990) x common factors =18 x 1 = 18

LCM(846,990) = ( 846 × 990 ) / 18

LCM(846,990) = 837540 / 18

LCM(846,990) = 46530

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 770/846, 286/990

1. What is the HCF of 770,286?

The HCF of 770,286 is 22

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 770/846, 286/990?

Answer: GCF of Numerators as per given numbers 770/846, 286/990 is

GCF of Numerators i.e. for 770,286 is 22

LCM of denominators i.e. for 846,990 is 46530.

Thus, GCF of Fractions is 22/46530.Finally, GCF of Fractions for 770/846, 286/990 is 22/46530.