How to Find GCF of 1801/124, 6254/7568?

GCF of 1801/124, 6254/7568

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 1801/124, 6254/7568 i.e 1/234608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1801/124, 6254/7568.

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 1801/124,6254/7568?

Given fractions are 1801/124,6254/7568

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 1801/124,6254/7568, numerators are 1801,6254

Denominators are 124,7568

The GCF of 1801,6254 is 1 .

LCM of 124,7568 is 234608.

The greatest common factor of 1801/124,6254/7568 = [GCF of 1801,6254]/[LCM of 124,7568]= 1/234608

Therefore, the GCF of 1801/124,6254/7568 is 1/234608.

Greatest Common Factor of 1801,6254

To find the highest common factor of 1801,6254, we have to find the factors of both numbers and list the highest common factor.

The factors of 1801 are 1, 1801

The factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254

The HCF of 1801,6254 is 1.

Lets's calculate GCF of 1801,6254

Greatest Common Factor (GCF) of 1801,6254 By Common Division

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

Greatest Common Factor of 1801,6254 By Matching Biggest Common Factor Method

Now, list down the factors of 1801

1,1801

Now, list down the factors of 6254

1,2,53,59,106,118,3127,6254

Greatest Common Factor

We found the factors 1801,6254 . The biggest common factor number is the GCF number.
So the greatest common factor 1801,6254 is 1.

Lets's calculate LCM of 124,7568

Lowest Common Multiple of 124,7568 using Common Division

2	124, 7568
2	62, 3784
	31, 1892

∴ So the LCM of the given numbers is 2 x 2 x 31 x 1892 = 234608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234608

Therefore, the GCF of Fractions 1801/124,6254/7568 is 1/234608

Least Common Multiple of 124,7568 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 124,7568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,7568) = 4

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

GCF(124,7568) x common factors =4 x 1 = 4

LCM(124,7568) = ( 124 × 7568 ) / 4

LCM(124,7568) = 938432 / 4

LCM(124,7568) = 234608

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FAQs on GCF of Fractions of 1801/124, 6254/7568

1. What is the HCF of 1801,6254?

The HCF of 1801,6254 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 1801/124, 6254/7568?

Answer: GCF of Numerators as per given numbers 1801/124, 6254/7568 is

GCF of Numerators i.e. for 1801,6254 is 1

LCM of denominators i.e. for 124,7568 is 234608.

Thus, GCF of Fractions is 1/234608.Finally, GCF of Fractions for 1801/124, 6254/7568 is 1/234608.