How to Find GCF of 1626/784, 5505/1240?

GCF of 1626/784, 5505/1240

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 1626/784, 5505/1240 i.e 3/121520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1626/784, 5505/1240.

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 1626/784,5505/1240?

Given fractions are 1626/784,5505/1240

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 1626/784,5505/1240, numerators are 1626,5505

Denominators are 784,1240

The GCF of 1626,5505 is 3 .

LCM of 784,1240 is 121520.

The greatest common factor of 1626/784,5505/1240 = [GCF of 1626,5505]/[LCM of 784,1240]= 3/121520

Therefore, the GCF of 1626/784,5505/1240 is 3/121520.

Greatest Common Factor of 1626,5505

To find the highest common factor of 1626,5505, we have to find the factors of both numbers and list the highest common factor.

The factors of 1626 are 1, 2, 3, 6, 271, 542, 813, 1626

The factors of 5505 are 1, 3, 5, 15, 367, 1101, 1835, 5505

The HCF of 1626,5505 is 3.

Lets's calculate GCF of 1626,5505

Greatest Common Factor (GCF) of 1626,5505 By Common Division

3	1626, 5505
	542, 1835

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1626,5505 By Matching Biggest Common Factor Method

Now, list down the factors of 1626

1,2,3,6,271,542,813,1626

Now, list down the factors of 5505

1,3,5,15,367,1101,1835,5505

Greatest Common Factor

We found the factors 1626,5505 . The biggest common factor number is the GCF number.
So the greatest common factor 1626,5505 is 3.

Lets's calculate LCM of 784,1240

Lowest Common Multiple of 784,1240 using Common Division

2	784, 1240
2	392, 620
2	196, 310
	98, 155

∴ So the LCM of the given numbers is 2 x 2 x 2 x 98 x 155 = 121520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/121520

Therefore, the GCF of Fractions 1626/784,5505/1240 is 3/121520

Least Common Multiple of 784,1240 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 784,1240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,1240) = 8

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

GCF(784,1240) x common factors =8 x 1 = 8

LCM(784,1240) = ( 784 × 1240 ) / 8

LCM(784,1240) = 972160 / 8

LCM(784,1240) = 121520

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1626/784, 5505/1240

1. What is the HCF of 1626,5505?

The HCF of 1626,5505 is 3

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 1626/784, 5505/1240?

Answer: GCF of Numerators as per given numbers 1626/784, 5505/1240 is

GCF of Numerators i.e. for 1626,5505 is 3

LCM of denominators i.e. for 784,1240 is 121520.

Thus, GCF of Fractions is 3/121520.Finally, GCF of Fractions for 1626/784, 5505/1240 is 3/121520.