How to Find GCF of 6734/504, 1921/3100?

GCF of 6734/504, 1921/3100

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 6734/504, 1921/3100 i.e 1/390600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6734/504, 1921/3100.

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 6734/504,1921/3100?

Given fractions are 6734/504,1921/3100

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 6734/504,1921/3100, numerators are 6734,1921

Denominators are 504,3100

The GCF of 6734,1921 is 1 .

LCM of 504,3100 is 390600.

The greatest common factor of 6734/504,1921/3100 = [GCF of 6734,1921]/[LCM of 504,3100]= 1/390600

Therefore, the GCF of 6734/504,1921/3100 is 1/390600.

Greatest Common Factor of 6734,1921

To find the highest common factor of 6734,1921, we have to find the factors of both numbers and list the highest common factor.

The factors of 6734 are 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734

The factors of 1921 are 1, 17, 113, 1921

The HCF of 6734,1921 is 1.

Lets's calculate GCF of 6734,1921

Greatest Common Factor (GCF) of 6734,1921 By Common Division

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

Greatest Common Factor of 6734,1921 By Matching Biggest Common Factor Method

Now, list down the factors of 6734

1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734

Now, list down the factors of 1921

1,17,113,1921

Greatest Common Factor

We found the factors 6734,1921 . The biggest common factor number is the GCF number.
So the greatest common factor 6734,1921 is 1.

Lets's calculate LCM of 504,3100

Lowest Common Multiple of 504,3100 using Common Division

2	504, 3100
2	252, 1550
	126, 775

∴ So the LCM of the given numbers is 2 x 2 x 126 x 775 = 390600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390600

Therefore, the GCF of Fractions 6734/504,1921/3100 is 1/390600

Least Common Multiple of 504,3100 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 504,3100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,3100) = 4

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

GCF(504,3100) x common factors =4 x 1 = 4

LCM(504,3100) = ( 504 × 3100 ) / 4

LCM(504,3100) = 1562400 / 4

LCM(504,3100) = 390600

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FAQs on GCF of Fractions of 6734/504, 1921/3100

1. What is the HCF of 6734,1921?

The HCF of 6734,1921 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 6734/504, 1921/3100?

Answer: GCF of Numerators as per given numbers 6734/504, 1921/3100 is

GCF of Numerators i.e. for 6734,1921 is 1

LCM of denominators i.e. for 504,3100 is 390600.

Thus, GCF of Fractions is 1/390600.Finally, GCF of Fractions for 6734/504, 1921/3100 is 1/390600.