How to Find GCF of 3/969, 16/506, 74/374?

GCF of 3/969, 16/506, 74/374

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 3/969, 16/506, 74/374 i.e 1/490314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/969, 16/506, 74/374.

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 3/969,16/506,74/374?

Given fractions are 3/969,16/506,74/374

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 3/969,16/506,74/374, numerators are 3,16,74

Denominators are 969,506,374

The GCF of 3,16,74 is 1 .

LCM of 969,506,374 is 490314.

The greatest common factor of 3/969,16/506,74/374 = [GCF of 3,16,74]/[LCM of 969,506,374]= 1/490314

Therefore, the GCF of 3/969,16/506,74/374 is 1/490314.

Greatest Common Factor of 3,16,74

To find the highest common factor of 3,16,74, we have to find the factors of both numbers and list the highest common factor.

The factors of 3 are 1, 3

The factors of 16 are 1, 2, 4, 8, 16

The factors of 74 are 1, 2, 37, 74

The HCF of 3,16,74 is 1.

Lets's calculate GCF of 3,16,74

Greatest Common Factor (GCF) of 3,16,74 By Common Division

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

Greatest Common Factor of 3,16,74 By Matching Biggest Common Factor Method

Now, list down the factors of 3

1,3

Now, list down the factors of 16

1,2,4,8,16

Now, list down the factors of 74

1,2,37,74

Greatest Common Factor

We found the factors 3,16,74 . The biggest common factor number is the GCF number.
So the greatest common factor 3,16,74 is 1.

Lets's calculate LCM of 969,506,374

Lowest Common Multiple of 969,506,374 using Common Division

2	969, 506, 374
11	969, 253, 187
17	969, 23, 17
	57, 23, 1

∴ So the LCM of the given numbers is 2 x 11 x 17 x 57 x 23 x 1 = 490314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/490314

Therefore, the GCF of Fractions 3/969,16/506,74/374 is 1/490314

Least Common Multiple of 969,506,374 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 969,506,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,506,374) = 1

common factors(in case of two or more numbers have common factors) = 374

GCF(969,506,374) x common factors =1 x 374 = 374

LCM(969,506,374) = ( 969 × 506 × 374 ) / 374

LCM(969,506,374) = 183377436 / 374

LCM(969,506,374) = 490314

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FAQs on GCF of Fractions of 3/969, 16/506, 74/374

1. What is the HCF of 3,16,74?

The HCF of 3,16,74 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 3/969, 16/506, 74/374?

Answer: GCF of Numerators as per given numbers 3/969, 16/506, 74/374 is

GCF of Numerators i.e. for 3,16,74 is 1

LCM of denominators i.e. for 969,506,374 is 490314.

Thus, GCF of Fractions is 1/490314.Finally, GCF of Fractions for 3/969, 16/506, 74/374 is 1/490314.