How to Find GCF of 8780/783, 3294/958?

GCF of 8780/783, 3294/958

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 8780/783, 3294/958 i.e 2/750114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8780/783, 3294/958.

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 8780/783,3294/958?

Given fractions are 8780/783,3294/958

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 8780/783,3294/958, numerators are 8780,3294

Denominators are 783,958

The GCF of 8780,3294 is 2 .

LCM of 783,958 is 750114.

The greatest common factor of 8780/783,3294/958 = [GCF of 8780,3294]/[LCM of 783,958]= 2/750114

Therefore, the GCF of 8780/783,3294/958 is 2/750114.

Greatest Common Factor of 8780,3294

To find the highest common factor of 8780,3294, we have to find the factors of both numbers and list the highest common factor.

The factors of 8780 are 1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780

The factors of 3294 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294

The HCF of 8780,3294 is 2.

Lets's calculate GCF of 8780,3294

Greatest Common Factor (GCF) of 8780,3294 By Common Division

2	8780, 3294
	4390, 1647

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

Greatest Common Factor of 8780,3294 By Matching Biggest Common Factor Method

Now, list down the factors of 8780

1,2,4,5,10,20,439,878,1756,2195,4390,8780

Now, list down the factors of 3294

1,2,3,6,9,18,27,54,61,122,183,366,549,1098,1647,3294

Greatest Common Factor

We found the factors 8780,3294 . The biggest common factor number is the GCF number.
So the greatest common factor 8780,3294 is 2.

Lets's calculate LCM of 783,958

Lowest Common Multiple of 783,958 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 750114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/750114

Therefore, the GCF of Fractions 8780/783,3294/958 is 2/750114

Least Common Multiple of 783,958 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 783,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,958) = 1

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

GCF(783,958) x common factors =1 x 1 = 1

LCM(783,958) = ( 783 × 958 ) / 1

LCM(783,958) = 750114 / 1

LCM(783,958) = 750114

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FAQs on GCF of Fractions of 8780/783, 3294/958

1. What is the HCF of 8780,3294?

The HCF of 8780,3294 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 8780/783, 3294/958?

Answer: GCF of Numerators as per given numbers 8780/783, 3294/958 is

GCF of Numerators i.e. for 8780,3294 is 2

LCM of denominators i.e. for 783,958 is 750114.

Thus, GCF of Fractions is 2/750114.Finally, GCF of Fractions for 8780/783, 3294/958 is 2/750114.