How to Find GCF of 770/23, 936/584?

GCF of 770/23, 936/584

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 770/23, 936/584 i.e 2/13432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/23, 936/584.

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 770/23,936/584?

Given fractions are 770/23,936/584

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 770/23,936/584, numerators are 770,936

Denominators are 23,584

The GCF of 770,936 is 2 .

LCM of 23,584 is 13432.

The greatest common factor of 770/23,936/584 = [GCF of 770,936]/[LCM of 23,584]= 2/13432

Therefore, the GCF of 770/23,936/584 is 2/13432.

Greatest Common Factor of 770,936

To find the highest common factor of 770,936, 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 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

The HCF of 770,936 is 2.

Lets's calculate GCF of 770,936

Greatest Common Factor (GCF) of 770,936 By Common Division

2	770, 936
	385, 468

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 770,936 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 936

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 770,936 . The biggest common factor number is the GCF number.
So the greatest common factor 770,936 is 2.

Lets's calculate LCM of 23,584

Lowest Common Multiple of 23,584 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 13432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13432

Therefore, the GCF of Fractions 770/23,936/584 is 2/13432

Least Common Multiple of 23,584 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 23,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,584) = 1

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

GCF(23,584) x common factors =1 x 1 = 1

LCM(23,584) = ( 23 × 584 ) / 1

LCM(23,584) = 13432 / 1

LCM(23,584) = 13432

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 770/23, 936/584

1. What is the HCF of 770,936?

The HCF of 770,936 is 2

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 770/23, 936/584?

Answer: GCF of Numerators as per given numbers 770/23, 936/584 is

GCF of Numerators i.e. for 770,936 is 2

LCM of denominators i.e. for 23,584 is 13432.

Thus, GCF of Fractions is 2/13432.Finally, GCF of Fractions for 770/23, 936/584 is 2/13432.