How to Find GCF of 784/353, 7372/651?

GCF of 784/353, 7372/651

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 784/353, 7372/651 i.e 4/229803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 784/353, 7372/651.

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 784/353,7372/651?

Given fractions are 784/353,7372/651

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 784/353,7372/651, numerators are 784,7372

Denominators are 353,651

The GCF of 784,7372 is 4 .

LCM of 353,651 is 229803.

The greatest common factor of 784/353,7372/651 = [GCF of 784,7372]/[LCM of 353,651]= 4/229803

Therefore, the GCF of 784/353,7372/651 is 4/229803.

Greatest Common Factor of 784,7372

To find the highest common factor of 784,7372, we have to find the factors of both numbers and list the highest common factor.

The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

The factors of 7372 are 1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372

The HCF of 784,7372 is 4.

Lets's calculate GCF of 784,7372

Greatest Common Factor (GCF) of 784,7372 By Common Division

2	784, 7372
2	392, 3686
	196, 1843

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 784,7372 By Matching Biggest Common Factor Method

Now, list down the factors of 784

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Now, list down the factors of 7372

1,2,4,19,38,76,97,194,388,1843,3686,7372

Greatest Common Factor

We found the factors 784,7372 . The biggest common factor number is the GCF number.
So the greatest common factor 784,7372 is 4.

Lets's calculate LCM of 353,651

Lowest Common Multiple of 353,651 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 229803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/229803

Therefore, the GCF of Fractions 784/353,7372/651 is 4/229803

Least Common Multiple of 353,651 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 353,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,651) = 1

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

GCF(353,651) x common factors =1 x 1 = 1

LCM(353,651) = ( 353 × 651 ) / 1

LCM(353,651) = 229803 / 1

LCM(353,651) = 229803

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FAQs on GCF of Fractions of 784/353, 7372/651

1. What is the HCF of 784,7372?

The HCF of 784,7372 is 4

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 784/353, 7372/651?

Answer: GCF of Numerators as per given numbers 784/353, 7372/651 is

GCF of Numerators i.e. for 784,7372 is 4

LCM of denominators i.e. for 353,651 is 229803.

Thus, GCF of Fractions is 4/229803.Finally, GCF of Fractions for 784/353, 7372/651 is 4/229803.