How to Find GCF of 1498/808, 4165/536?

GCF of 1498/808, 4165/536

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 1498/808, 4165/536 i.e 7/54136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1498/808, 4165/536.

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 1498/808,4165/536?

Given fractions are 1498/808,4165/536

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 1498/808,4165/536, numerators are 1498,4165

Denominators are 808,536

The GCF of 1498,4165 is 7 .

LCM of 808,536 is 54136.

The greatest common factor of 1498/808,4165/536 = [GCF of 1498,4165]/[LCM of 808,536]= 7/54136

Therefore, the GCF of 1498/808,4165/536 is 7/54136.

Greatest Common Factor of 1498,4165

To find the highest common factor of 1498,4165, we have to find the factors of both numbers and list the highest common factor.

The factors of 1498 are 1, 2, 7, 14, 107, 214, 749, 1498

The factors of 4165 are 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165

The HCF of 1498,4165 is 7.

Lets's calculate GCF of 1498,4165

Greatest Common Factor (GCF) of 1498,4165 By Common Division

7	1498, 4165
	214, 595

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1498,4165 By Matching Biggest Common Factor Method

Now, list down the factors of 1498

1,2,7,14,107,214,749,1498

Now, list down the factors of 4165

1,5,7,17,35,49,85,119,245,595,833,4165

Greatest Common Factor

We found the factors 1498,4165 . The biggest common factor number is the GCF number.
So the greatest common factor 1498,4165 is 7.

Lets's calculate LCM of 808,536

Lowest Common Multiple of 808,536 using Common Division

2	808, 536
2	404, 268
2	202, 134
	101, 67

∴ So the LCM of the given numbers is 2 x 2 x 2 x 101 x 67 = 54136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/54136

Therefore, the GCF of Fractions 1498/808,4165/536 is 7/54136

Least Common Multiple of 808,536 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 808,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,536) = 8

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

GCF(808,536) x common factors =8 x 1 = 8

LCM(808,536) = ( 808 × 536 ) / 8

LCM(808,536) = 433088 / 8

LCM(808,536) = 54136

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FAQs on GCF of Fractions of 1498/808, 4165/536

1. What is the HCF of 1498,4165?

The HCF of 1498,4165 is 7

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 1498/808, 4165/536?

Answer: GCF of Numerators as per given numbers 1498/808, 4165/536 is

GCF of Numerators i.e. for 1498,4165 is 7

LCM of denominators i.e. for 808,536 is 54136.

Thus, GCF of Fractions is 7/54136.Finally, GCF of Fractions for 1498/808, 4165/536 is 7/54136.