How to Find GCF of 1949/692, 2304/294?

GCF of 1949/692, 2304/294

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 1949/692, 2304/294 i.e 1/101724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1949/692, 2304/294.

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 1949/692,2304/294?

Given fractions are 1949/692,2304/294

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 1949/692,2304/294, numerators are 1949,2304

Denominators are 692,294

The GCF of 1949,2304 is 1 .

LCM of 692,294 is 101724.

The greatest common factor of 1949/692,2304/294 = [GCF of 1949,2304]/[LCM of 692,294]= 1/101724

Therefore, the GCF of 1949/692,2304/294 is 1/101724.

Greatest Common Factor of 1949,2304

To find the highest common factor of 1949,2304, we have to find the factors of both numbers and list the highest common factor.

The factors of 1949 are 1, 1949

The factors of 2304 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152, 2304

The HCF of 1949,2304 is 1.

Lets's calculate GCF of 1949,2304

Greatest Common Factor (GCF) of 1949,2304 By Common Division

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

Greatest Common Factor of 1949,2304 By Matching Biggest Common Factor Method

Now, list down the factors of 1949

1,1949

Now, list down the factors of 2304

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,576,768,1152,2304

Greatest Common Factor

We found the factors 1949,2304 . The biggest common factor number is the GCF number.
So the greatest common factor 1949,2304 is 1.

Lets's calculate LCM of 692,294

Lowest Common Multiple of 692,294 using Common Division

2	692, 294
	346, 147

∴ So the LCM of the given numbers is 2 x 346 x 147 = 101724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101724

Therefore, the GCF of Fractions 1949/692,2304/294 is 1/101724

Least Common Multiple of 692,294 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 692,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,294) = 2

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

GCF(692,294) x common factors =2 x 1 = 2

LCM(692,294) = ( 692 × 294 ) / 2

LCM(692,294) = 203448 / 2

LCM(692,294) = 101724

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FAQs on GCF of Fractions of 1949/692, 2304/294

1. What is the HCF of 1949,2304?

The HCF of 1949,2304 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 1949/692, 2304/294?

Answer: GCF of Numerators as per given numbers 1949/692, 2304/294 is

GCF of Numerators i.e. for 1949,2304 is 1

LCM of denominators i.e. for 692,294 is 101724.

Thus, GCF of Fractions is 1/101724.Finally, GCF of Fractions for 1949/692, 2304/294 is 1/101724.