How to Find GCF of 7040/536, 3693/6264?

GCF of 7040/536, 3693/6264

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 7040/536, 3693/6264 i.e 1/419688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7040/536, 3693/6264.

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 7040/536,3693/6264?

Given fractions are 7040/536,3693/6264

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 7040/536,3693/6264, numerators are 7040,3693

Denominators are 536,6264

The GCF of 7040,3693 is 1 .

LCM of 536,6264 is 419688.

The greatest common factor of 7040/536,3693/6264 = [GCF of 7040,3693]/[LCM of 536,6264]= 1/419688

Therefore, the GCF of 7040/536,3693/6264 is 1/419688.

Greatest Common Factor of 7040,3693

To find the highest common factor of 7040,3693, we have to find the factors of both numbers and list the highest common factor.

The factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040

The factors of 3693 are 1, 3, 1231, 3693

The HCF of 7040,3693 is 1.

Lets's calculate GCF of 7040,3693

Greatest Common Factor (GCF) of 7040,3693 By Common Division

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

Greatest Common Factor of 7040,3693 By Matching Biggest Common Factor Method

Now, list down the factors of 7040

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040

Now, list down the factors of 3693

1,3,1231,3693

Greatest Common Factor

We found the factors 7040,3693 . The biggest common factor number is the GCF number.
So the greatest common factor 7040,3693 is 1.

Lets's calculate LCM of 536,6264

Lowest Common Multiple of 536,6264 using Common Division

2	536, 6264
2	268, 3132
2	134, 1566
	67, 783

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 783 = 419688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/419688

Therefore, the GCF of Fractions 7040/536,3693/6264 is 1/419688

Least Common Multiple of 536,6264 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 536,6264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,6264) = 8

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

GCF(536,6264) x common factors =8 x 1 = 8

LCM(536,6264) = ( 536 × 6264 ) / 8

LCM(536,6264) = 3357504 / 8

LCM(536,6264) = 419688

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FAQs on GCF of Fractions of 7040/536, 3693/6264

1. What is the HCF of 7040,3693?

The HCF of 7040,3693 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 7040/536, 3693/6264?

Answer: GCF of Numerators as per given numbers 7040/536, 3693/6264 is

GCF of Numerators i.e. for 7040,3693 is 1

LCM of denominators i.e. for 536,6264 is 419688.

Thus, GCF of Fractions is 1/419688.Finally, GCF of Fractions for 7040/536, 3693/6264 is 1/419688.