How to Find GCF of 3290/912, 2969/2216?

GCF of 3290/912, 2969/2216

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 3290/912, 2969/2216 i.e 1/252624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3290/912, 2969/2216.

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 3290/912,2969/2216?

Given fractions are 3290/912,2969/2216

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 3290/912,2969/2216, numerators are 3290,2969

Denominators are 912,2216

The GCF of 3290,2969 is 1 .

LCM of 912,2216 is 252624.

The greatest common factor of 3290/912,2969/2216 = [GCF of 3290,2969]/[LCM of 912,2216]= 1/252624

Therefore, the GCF of 3290/912,2969/2216 is 1/252624.

Greatest Common Factor of 3290,2969

To find the highest common factor of 3290,2969, we have to find the factors of both numbers and list the highest common factor.

The factors of 3290 are 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290

The factors of 2969 are 1, 2969

The HCF of 3290,2969 is 1.

Lets's calculate GCF of 3290,2969

Greatest Common Factor (GCF) of 3290,2969 By Common Division

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

Greatest Common Factor of 3290,2969 By Matching Biggest Common Factor Method

Now, list down the factors of 3290

1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290

Now, list down the factors of 2969

1,2969

Greatest Common Factor

We found the factors 3290,2969 . The biggest common factor number is the GCF number.
So the greatest common factor 3290,2969 is 1.

Lets's calculate LCM of 912,2216

Lowest Common Multiple of 912,2216 using Common Division

2	912, 2216
2	456, 1108
2	228, 554
	114, 277

∴ So the LCM of the given numbers is 2 x 2 x 2 x 114 x 277 = 252624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252624

Therefore, the GCF of Fractions 3290/912,2969/2216 is 1/252624

Least Common Multiple of 912,2216 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 912,2216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,2216) = 8

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

GCF(912,2216) x common factors =8 x 1 = 8

LCM(912,2216) = ( 912 × 2216 ) / 8

LCM(912,2216) = 2020992 / 8

LCM(912,2216) = 252624

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FAQs on GCF of Fractions of 3290/912, 2969/2216

1. What is the HCF of 3290,2969?

The HCF of 3290,2969 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 3290/912, 2969/2216?

Answer: GCF of Numerators as per given numbers 3290/912, 2969/2216 is

GCF of Numerators i.e. for 3290,2969 is 1

LCM of denominators i.e. for 912,2216 is 252624.

Thus, GCF of Fractions is 1/252624.Finally, GCF of Fractions for 3290/912, 2969/2216 is 1/252624.