How to Find GCF of 7735/360, 6467/1474?

GCF of 7735/360, 6467/1474

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 7735/360, 6467/1474 i.e 1/265320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7735/360, 6467/1474.

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 7735/360,6467/1474?

Given fractions are 7735/360,6467/1474

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 7735/360,6467/1474, numerators are 7735,6467

Denominators are 360,1474

The GCF of 7735,6467 is 1 .

LCM of 360,1474 is 265320.

The greatest common factor of 7735/360,6467/1474 = [GCF of 7735,6467]/[LCM of 360,1474]= 1/265320

Therefore, the GCF of 7735/360,6467/1474 is 1/265320.

Greatest Common Factor of 7735,6467

To find the highest common factor of 7735,6467, we have to find the factors of both numbers and list the highest common factor.

The factors of 7735 are 1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735

The factors of 6467 are 1, 29, 223, 6467

The HCF of 7735,6467 is 1.

Lets's calculate GCF of 7735,6467

Greatest Common Factor (GCF) of 7735,6467 By Common Division

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

Greatest Common Factor of 7735,6467 By Matching Biggest Common Factor Method

Now, list down the factors of 7735

1,5,7,13,17,35,65,85,91,119,221,455,595,1105,1547,7735

Now, list down the factors of 6467

1,29,223,6467

Greatest Common Factor

We found the factors 7735,6467 . The biggest common factor number is the GCF number.
So the greatest common factor 7735,6467 is 1.

Lets's calculate LCM of 360,1474

Lowest Common Multiple of 360,1474 using Common Division

2	360, 1474
	180, 737

∴ So the LCM of the given numbers is 2 x 180 x 737 = 265320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265320

Therefore, the GCF of Fractions 7735/360,6467/1474 is 1/265320

Least Common Multiple of 360,1474 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 360,1474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,1474) = 2

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

GCF(360,1474) x common factors =2 x 1 = 2

LCM(360,1474) = ( 360 × 1474 ) / 2

LCM(360,1474) = 530640 / 2

LCM(360,1474) = 265320

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FAQs on GCF of Fractions of 7735/360, 6467/1474

1. What is the HCF of 7735,6467?

The HCF of 7735,6467 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 7735/360, 6467/1474?

Answer: GCF of Numerators as per given numbers 7735/360, 6467/1474 is

GCF of Numerators i.e. for 7735,6467 is 1

LCM of denominators i.e. for 360,1474 is 265320.

Thus, GCF of Fractions is 1/265320.Finally, GCF of Fractions for 7735/360, 6467/1474 is 1/265320.