How to Find GCF of 5237/254, 4200/3246?

GCF of 5237/254, 4200/3246

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 5237/254, 4200/3246 i.e 1/412242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5237/254, 4200/3246.

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 5237/254,4200/3246?

Given fractions are 5237/254,4200/3246

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 5237/254,4200/3246, numerators are 5237,4200

Denominators are 254,3246

The GCF of 5237,4200 is 1 .

LCM of 254,3246 is 412242.

The greatest common factor of 5237/254,4200/3246 = [GCF of 5237,4200]/[LCM of 254,3246]= 1/412242

Therefore, the GCF of 5237/254,4200/3246 is 1/412242.

Greatest Common Factor of 5237,4200

To find the highest common factor of 5237,4200, we have to find the factors of both numbers and list the highest common factor.

The factors of 5237 are 1, 5237

The factors of 4200 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200

The HCF of 5237,4200 is 1.

Lets's calculate GCF of 5237,4200

Greatest Common Factor (GCF) of 5237,4200 By Common Division

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

Greatest Common Factor of 5237,4200 By Matching Biggest Common Factor Method

Now, list down the factors of 5237

1,5237

Now, list down the factors of 4200

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,25,28,30,35,40,42,50,56,60,70,75,84,100,105,120,140,150,168,175,200,210,280,300,350,420,525,600,700,840,1050,1400,2100,4200

Greatest Common Factor

We found the factors 5237,4200 . The biggest common factor number is the GCF number.
So the greatest common factor 5237,4200 is 1.

Lets's calculate LCM of 254,3246

Lowest Common Multiple of 254,3246 using Common Division

2	254, 3246
	127, 1623

∴ So the LCM of the given numbers is 2 x 127 x 1623 = 412242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/412242

Therefore, the GCF of Fractions 5237/254,4200/3246 is 1/412242

Least Common Multiple of 254,3246 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 254,3246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,3246) = 2

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

GCF(254,3246) x common factors =2 x 1 = 2

LCM(254,3246) = ( 254 × 3246 ) / 2

LCM(254,3246) = 824484 / 2

LCM(254,3246) = 412242

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5237/254, 4200/3246

1. What is the HCF of 5237,4200?

The HCF of 5237,4200 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 5237/254, 4200/3246?

Answer: GCF of Numerators as per given numbers 5237/254, 4200/3246 is

GCF of Numerators i.e. for 5237,4200 is 1

LCM of denominators i.e. for 254,3246 is 412242.

Thus, GCF of Fractions is 1/412242.Finally, GCF of Fractions for 5237/254, 4200/3246 is 1/412242.