How to Find GCF of 7686/179, 1490/9951?

GCF of 7686/179, 1490/9951

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 7686/179, 1490/9951 i.e 2/1781229 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7686/179, 1490/9951.

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 7686/179,1490/9951?

Given fractions are 7686/179,1490/9951

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 7686/179,1490/9951, numerators are 7686,1490

Denominators are 179,9951

The GCF of 7686,1490 is 2 .

LCM of 179,9951 is 1781229.

The greatest common factor of 7686/179,1490/9951 = [GCF of 7686,1490]/[LCM of 179,9951]= 2/1781229

Therefore, the GCF of 7686/179,1490/9951 is 2/1781229.

Greatest Common Factor of 7686,1490

To find the highest common factor of 7686,1490, we have to find the factors of both numbers and list the highest common factor.

The factors of 7686 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 61, 63, 122, 126, 183, 366, 427, 549, 854, 1098, 1281, 2562, 3843, 7686

The factors of 1490 are 1, 2, 5, 10, 149, 298, 745, 1490

The HCF of 7686,1490 is 2.

Lets's calculate GCF of 7686,1490

Greatest Common Factor (GCF) of 7686,1490 By Common Division

2	7686, 1490
	3843, 745

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7686,1490 By Matching Biggest Common Factor Method

Now, list down the factors of 7686

1,2,3,6,7,9,14,18,21,42,61,63,122,126,183,366,427,549,854,1098,1281,2562,3843,7686

Now, list down the factors of 1490

1,2,5,10,149,298,745,1490

Greatest Common Factor

We found the factors 7686,1490 . The biggest common factor number is the GCF number.
So the greatest common factor 7686,1490 is 2.

Lets's calculate LCM of 179,9951

Lowest Common Multiple of 179,9951 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1781229

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1781229

Therefore, the GCF of Fractions 7686/179,1490/9951 is 2/1781229

Least Common Multiple of 179,9951 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 179,9951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,9951) = 1

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

GCF(179,9951) x common factors =1 x 1 = 1

LCM(179,9951) = ( 179 × 9951 ) / 1

LCM(179,9951) = 1781229 / 1

LCM(179,9951) = 1781229

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7686/179, 1490/9951

1. What is the HCF of 7686,1490?

The HCF of 7686,1490 is 2

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 7686/179, 1490/9951?

Answer: GCF of Numerators as per given numbers 7686/179, 1490/9951 is

GCF of Numerators i.e. for 7686,1490 is 2

LCM of denominators i.e. for 179,9951 is 1781229.

Thus, GCF of Fractions is 2/1781229.Finally, GCF of Fractions for 7686/179, 1490/9951 is 2/1781229.