How to Find GCF of 3974/850, 2814/143?

GCF of 3974/850, 2814/143

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 3974/850, 2814/143 i.e 2/121550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3974/850, 2814/143.

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 3974/850,2814/143?

Given fractions are 3974/850,2814/143

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 3974/850,2814/143, numerators are 3974,2814

Denominators are 850,143

The GCF of 3974,2814 is 2 .

LCM of 850,143 is 121550.

The greatest common factor of 3974/850,2814/143 = [GCF of 3974,2814]/[LCM of 850,143]= 2/121550

Therefore, the GCF of 3974/850,2814/143 is 2/121550.

Greatest Common Factor of 3974,2814

To find the highest common factor of 3974,2814, we have to find the factors of both numbers and list the highest common factor.

The factors of 3974 are 1, 2, 1987, 3974

The factors of 2814 are 1, 2, 3, 6, 7, 14, 21, 42, 67, 134, 201, 402, 469, 938, 1407, 2814

The HCF of 3974,2814 is 2.

Lets's calculate GCF of 3974,2814

Greatest Common Factor (GCF) of 3974,2814 By Common Division

2	3974, 2814
	1987, 1407

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

Greatest Common Factor of 3974,2814 By Matching Biggest Common Factor Method

Now, list down the factors of 3974

1,2,1987,3974

Now, list down the factors of 2814

1,2,3,6,7,14,21,42,67,134,201,402,469,938,1407,2814

Greatest Common Factor

We found the factors 3974,2814 . The biggest common factor number is the GCF number.
So the greatest common factor 3974,2814 is 2.

Lets's calculate LCM of 850,143

Lowest Common Multiple of 850,143 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 121550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121550

Therefore, the GCF of Fractions 3974/850,2814/143 is 2/121550

Least Common Multiple of 850,143 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 850,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,143) = 1

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

GCF(850,143) x common factors =1 x 1 = 1

LCM(850,143) = ( 850 × 143 ) / 1

LCM(850,143) = 121550 / 1

LCM(850,143) = 121550

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3974/850, 2814/143

1. What is the HCF of 3974,2814?

The HCF of 3974,2814 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 3974/850, 2814/143?

Answer: GCF of Numerators as per given numbers 3974/850, 2814/143 is

GCF of Numerators i.e. for 3974,2814 is 2

LCM of denominators i.e. for 850,143 is 121550.

Thus, GCF of Fractions is 2/121550.Finally, GCF of Fractions for 3974/850, 2814/143 is 2/121550.