How to Find GCF of 3850/940, 4099/8376?

GCF of 3850/940, 4099/8376

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 3850/940, 4099/8376 i.e 1/1968360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3850/940, 4099/8376.

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 3850/940,4099/8376?

Given fractions are 3850/940,4099/8376

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 3850/940,4099/8376, numerators are 3850,4099

Denominators are 940,8376

The GCF of 3850,4099 is 1 .

LCM of 940,8376 is 1968360.

The greatest common factor of 3850/940,4099/8376 = [GCF of 3850,4099]/[LCM of 940,8376]= 1/1968360

Therefore, the GCF of 3850/940,4099/8376 is 1/1968360.

Greatest Common Factor of 3850,4099

To find the highest common factor of 3850,4099, we have to find the factors of both numbers and list the highest common factor.

The factors of 3850 are 1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 154, 175, 275, 350, 385, 550, 770, 1925, 3850

The factors of 4099 are 1, 4099

The HCF of 3850,4099 is 1.

Lets's calculate GCF of 3850,4099

Greatest Common Factor (GCF) of 3850,4099 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3850,4099 By Matching Biggest Common Factor Method

Now, list down the factors of 3850

1,2,5,7,10,11,14,22,25,35,50,55,70,77,110,154,175,275,350,385,550,770,1925,3850

Now, list down the factors of 4099

1,4099

Greatest Common Factor

We found the factors 3850,4099 . The biggest common factor number is the GCF number.
So the greatest common factor 3850,4099 is 1.

Lets's calculate LCM of 940,8376

Lowest Common Multiple of 940,8376 using Common Division

2	940, 8376
2	470, 4188
	235, 2094

∴ So the LCM of the given numbers is 2 x 2 x 235 x 2094 = 1968360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1968360

Therefore, the GCF of Fractions 3850/940,4099/8376 is 1/1968360

Least Common Multiple of 940,8376 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 940,8376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,8376) = 4

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

GCF(940,8376) x common factors =4 x 1 = 4

LCM(940,8376) = ( 940 × 8376 ) / 4

LCM(940,8376) = 7873440 / 4

LCM(940,8376) = 1968360

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3850/940, 4099/8376

1. What is the HCF of 3850,4099?

The HCF of 3850,4099 is 1

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 3850/940, 4099/8376?

Answer: GCF of Numerators as per given numbers 3850/940, 4099/8376 is

GCF of Numerators i.e. for 3850,4099 is 1

LCM of denominators i.e. for 940,8376 is 1968360.

Thus, GCF of Fractions is 1/1968360.Finally, GCF of Fractions for 3850/940, 4099/8376 is 1/1968360.