How to Find GCF of 630/800, 7779/484?

GCF of 630/800, 7779/484

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 630/800, 7779/484 i.e 3/96800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 630/800, 7779/484.

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 630/800,7779/484?

Given fractions are 630/800,7779/484

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 630/800,7779/484, numerators are 630,7779

Denominators are 800,484

The GCF of 630,7779 is 3 .

LCM of 800,484 is 96800.

The greatest common factor of 630/800,7779/484 = [GCF of 630,7779]/[LCM of 800,484]= 3/96800

Therefore, the GCF of 630/800,7779/484 is 3/96800.

Greatest Common Factor of 630,7779

To find the highest common factor of 630,7779, we have to find the factors of both numbers and list the highest common factor.

The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

The factors of 7779 are 1, 3, 2593, 7779

The HCF of 630,7779 is 3.

Lets's calculate GCF of 630,7779

Greatest Common Factor (GCF) of 630,7779 By Common Division

3	630, 7779
	210, 2593

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 630,7779 By Matching Biggest Common Factor Method

Now, list down the factors of 630

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Now, list down the factors of 7779

1,3,2593,7779

Greatest Common Factor

We found the factors 630,7779 . The biggest common factor number is the GCF number.
So the greatest common factor 630,7779 is 3.

Lets's calculate LCM of 800,484

Lowest Common Multiple of 800,484 using Common Division

2	800, 484
2	400, 242
	200, 121

∴ So the LCM of the given numbers is 2 x 2 x 200 x 121 = 96800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/96800

Therefore, the GCF of Fractions 630/800,7779/484 is 3/96800

Least Common Multiple of 800,484 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 800,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,484) = 4

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

GCF(800,484) x common factors =4 x 1 = 4

LCM(800,484) = ( 800 × 484 ) / 4

LCM(800,484) = 387200 / 4

LCM(800,484) = 96800

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FAQs on GCF of Fractions of 630/800, 7779/484

1. What is the HCF of 630,7779?

The HCF of 630,7779 is 3

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 630/800, 7779/484?

Answer: GCF of Numerators as per given numbers 630/800, 7779/484 is

GCF of Numerators i.e. for 630,7779 is 3

LCM of denominators i.e. for 800,484 is 96800.

Thus, GCF of Fractions is 3/96800.Finally, GCF of Fractions for 630/800, 7779/484 is 3/96800.