How to Find GCF of 1469/124, 8211/7460?

GCF of 1469/124, 8211/7460

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 1469/124, 8211/7460 i.e 1/231260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1469/124, 8211/7460.

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 1469/124,8211/7460?

Given fractions are 1469/124,8211/7460

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 1469/124,8211/7460, numerators are 1469,8211

Denominators are 124,7460

The GCF of 1469,8211 is 1 .

LCM of 124,7460 is 231260.

The greatest common factor of 1469/124,8211/7460 = [GCF of 1469,8211]/[LCM of 124,7460]= 1/231260

Therefore, the GCF of 1469/124,8211/7460 is 1/231260.

Greatest Common Factor of 1469,8211

To find the highest common factor of 1469,8211, we have to find the factors of both numbers and list the highest common factor.

The factors of 1469 are 1, 13, 113, 1469

The factors of 8211 are 1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211

The HCF of 1469,8211 is 1.

Lets's calculate GCF of 1469,8211

Greatest Common Factor (GCF) of 1469,8211 By Common Division

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

Greatest Common Factor of 1469,8211 By Matching Biggest Common Factor Method

Now, list down the factors of 1469

1,13,113,1469

Now, list down the factors of 8211

1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211

Greatest Common Factor

We found the factors 1469,8211 . The biggest common factor number is the GCF number.
So the greatest common factor 1469,8211 is 1.

Lets's calculate LCM of 124,7460

Lowest Common Multiple of 124,7460 using Common Division

2	124, 7460
2	62, 3730
	31, 1865

∴ So the LCM of the given numbers is 2 x 2 x 31 x 1865 = 231260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/231260

Therefore, the GCF of Fractions 1469/124,8211/7460 is 1/231260

Least Common Multiple of 124,7460 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 124,7460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,7460) = 4

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

GCF(124,7460) x common factors =4 x 1 = 4

LCM(124,7460) = ( 124 × 7460 ) / 4

LCM(124,7460) = 925040 / 4

LCM(124,7460) = 231260

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FAQs on GCF of Fractions of 1469/124, 8211/7460

1. What is the HCF of 1469,8211?

The HCF of 1469,8211 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 1469/124, 8211/7460?

Answer: GCF of Numerators as per given numbers 1469/124, 8211/7460 is

GCF of Numerators i.e. for 1469,8211 is 1

LCM of denominators i.e. for 124,7460 is 231260.

Thus, GCF of Fractions is 1/231260.Finally, GCF of Fractions for 1469/124, 8211/7460 is 1/231260.