How to Find GCF of 2507/511, 9338/831?

GCF of 2507/511, 9338/831

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 2507/511, 9338/831 i.e 23/424641 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2507/511, 9338/831.

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 2507/511,9338/831?

Given fractions are 2507/511,9338/831

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 2507/511,9338/831, numerators are 2507,9338

Denominators are 511,831

The GCF of 2507,9338 is 23 .

LCM of 511,831 is 424641.

The greatest common factor of 2507/511,9338/831 = [GCF of 2507,9338]/[LCM of 511,831]= 23/424641

Therefore, the GCF of 2507/511,9338/831 is 23/424641.

Greatest Common Factor of 2507,9338

To find the highest common factor of 2507,9338, we have to find the factors of both numbers and list the highest common factor.

The factors of 2507 are 1, 23, 109, 2507

The factors of 9338 are 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338

The HCF of 2507,9338 is 23.

Lets's calculate GCF of 2507,9338

Greatest Common Factor (GCF) of 2507,9338 By Common Division

23	2507, 9338
	109, 406

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 2507,9338 By Matching Biggest Common Factor Method

Now, list down the factors of 2507

1,23,109,2507

Now, list down the factors of 9338

1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338

Greatest Common Factor

We found the factors 2507,9338 . The biggest common factor number is the GCF number.
So the greatest common factor 2507,9338 is 23.

Lets's calculate LCM of 511,831

Lowest Common Multiple of 511,831 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 424641

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/424641

Therefore, the GCF of Fractions 2507/511,9338/831 is 23/424641

Least Common Multiple of 511,831 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 511,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,831) = 1

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

GCF(511,831) x common factors =1 x 1 = 1

LCM(511,831) = ( 511 × 831 ) / 1

LCM(511,831) = 424641 / 1

LCM(511,831) = 424641

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FAQs on GCF of Fractions of 2507/511, 9338/831

1. What is the HCF of 2507,9338?

The HCF of 2507,9338 is 23

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 2507/511, 9338/831?

Answer: GCF of Numerators as per given numbers 2507/511, 9338/831 is

GCF of Numerators i.e. for 2507,9338 is 23

LCM of denominators i.e. for 511,831 is 424641.

Thus, GCF of Fractions is 23/424641.Finally, GCF of Fractions for 2507/511, 9338/831 is 23/424641.