How to Find GCF of 630/830, 7587/6584?

GCF of 630/830, 7587/6584

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 630/830, 7587/6584 i.e 9/2732360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 630/830, 7587/6584.

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 630/830,7587/6584?

Given fractions are 630/830,7587/6584

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 630/830,7587/6584, numerators are 630,7587

Denominators are 830,6584

The GCF of 630,7587 is 9 .

LCM of 830,6584 is 2732360.

The greatest common factor of 630/830,7587/6584 = [GCF of 630,7587]/[LCM of 830,6584]= 9/2732360

Therefore, the GCF of 630/830,7587/6584 is 9/2732360.

Greatest Common Factor of 630,7587

To find the highest common factor of 630,7587, 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 7587 are 1, 3, 9, 27, 281, 843, 2529, 7587

The HCF of 630,7587 is 9.

Lets's calculate GCF of 630,7587

Greatest Common Factor (GCF) of 630,7587 By Common Division

3	630, 7587
3	210, 2529
	70, 843

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 630,7587 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 7587

1,3,9,27,281,843,2529,7587

Greatest Common Factor

We found the factors 630,7587 . The biggest common factor number is the GCF number.
So the greatest common factor 630,7587 is 9.

Lets's calculate LCM of 830,6584

Lowest Common Multiple of 830,6584 using Common Division

2	830, 6584
	415, 3292

∴ So the LCM of the given numbers is 2 x 415 x 3292 = 2732360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2732360

Therefore, the GCF of Fractions 630/830,7587/6584 is 9/2732360

Least Common Multiple of 830,6584 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 830,6584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,6584) = 2

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

GCF(830,6584) x common factors =2 x 1 = 2

LCM(830,6584) = ( 830 × 6584 ) / 2

LCM(830,6584) = 5464720 / 2

LCM(830,6584) = 2732360

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 630/830, 7587/6584

1. What is the HCF of 630,7587?

The HCF of 630,7587 is 9

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 630/830, 7587/6584?

Answer: GCF of Numerators as per given numbers 630/830, 7587/6584 is

GCF of Numerators i.e. for 630,7587 is 9

LCM of denominators i.e. for 830,6584 is 2732360.

Thus, GCF of Fractions is 9/2732360.Finally, GCF of Fractions for 630/830, 7587/6584 is 9/2732360.