How to Find GCF of 4037/860, 4785/9749?

GCF of 4037/860, 4785/9749

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 4037/860, 4785/9749 i.e 11/8384140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4037/860, 4785/9749.

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 4037/860,4785/9749?

Given fractions are 4037/860,4785/9749

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 4037/860,4785/9749, numerators are 4037,4785

Denominators are 860,9749

The GCF of 4037,4785 is 11 .

LCM of 860,9749 is 8384140.

The greatest common factor of 4037/860,4785/9749 = [GCF of 4037,4785]/[LCM of 860,9749]= 11/8384140

Therefore, the GCF of 4037/860,4785/9749 is 11/8384140.

Greatest Common Factor of 4037,4785

To find the highest common factor of 4037,4785, we have to find the factors of both numbers and list the highest common factor.

The factors of 4037 are 1, 11, 367, 4037

The factors of 4785 are 1, 3, 5, 11, 15, 29, 33, 55, 87, 145, 165, 319, 435, 957, 1595, 4785

The HCF of 4037,4785 is 11.

Lets's calculate GCF of 4037,4785

Greatest Common Factor (GCF) of 4037,4785 By Common Division

11	4037, 4785
	367, 435

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 4037,4785 By Matching Biggest Common Factor Method

Now, list down the factors of 4037

1,11,367,4037

Now, list down the factors of 4785

1,3,5,11,15,29,33,55,87,145,165,319,435,957,1595,4785

Greatest Common Factor

We found the factors 4037,4785 . The biggest common factor number is the GCF number.
So the greatest common factor 4037,4785 is 11.

Lets's calculate LCM of 860,9749

Lowest Common Multiple of 860,9749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8384140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/8384140

Therefore, the GCF of Fractions 4037/860,4785/9749 is 11/8384140

Least Common Multiple of 860,9749 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 860,9749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,9749) = 1

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

GCF(860,9749) x common factors =1 x 1 = 1

LCM(860,9749) = ( 860 × 9749 ) / 1

LCM(860,9749) = 8384140 / 1

LCM(860,9749) = 8384140

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FAQs on GCF of Fractions of 4037/860, 4785/9749

1. What is the HCF of 4037,4785?

The HCF of 4037,4785 is 11

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 4037/860, 4785/9749?

Answer: GCF of Numerators as per given numbers 4037/860, 4785/9749 is

GCF of Numerators i.e. for 4037,4785 is 11

LCM of denominators i.e. for 860,9749 is 8384140.

Thus, GCF of Fractions is 11/8384140.Finally, GCF of Fractions for 4037/860, 4785/9749 is 11/8384140.