How to Find GCF of 784/101, 7748/4818?

GCF of 784/101, 7748/4818

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 784/101, 7748/4818 i.e 4/486618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 784/101, 7748/4818.

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 784/101,7748/4818?

Given fractions are 784/101,7748/4818

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 784/101,7748/4818, numerators are 784,7748

Denominators are 101,4818

The GCF of 784,7748 is 4 .

LCM of 101,4818 is 486618.

The greatest common factor of 784/101,7748/4818 = [GCF of 784,7748]/[LCM of 101,4818]= 4/486618

Therefore, the GCF of 784/101,7748/4818 is 4/486618.

Greatest Common Factor of 784,7748

To find the highest common factor of 784,7748, 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 7748 are 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748

The HCF of 784,7748 is 4.

Lets's calculate GCF of 784,7748

Greatest Common Factor (GCF) of 784,7748 By Common Division

2	784, 7748
2	392, 3874
	196, 1937

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

Greatest Common Factor of 784,7748 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 7748

1,2,4,13,26,52,149,298,596,1937,3874,7748

Greatest Common Factor

We found the factors 784,7748 . The biggest common factor number is the GCF number.
So the greatest common factor 784,7748 is 4.

Lets's calculate LCM of 101,4818

Lowest Common Multiple of 101,4818 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 486618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/486618

Therefore, the GCF of Fractions 784/101,7748/4818 is 4/486618

Least Common Multiple of 101,4818 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 101,4818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,4818) = 1

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

GCF(101,4818) x common factors =1 x 1 = 1

LCM(101,4818) = ( 101 × 4818 ) / 1

LCM(101,4818) = 486618 / 1

LCM(101,4818) = 486618

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 784/101, 7748/4818

1. What is the HCF of 784,7748?

The HCF of 784,7748 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 784/101, 7748/4818?

Answer: GCF of Numerators as per given numbers 784/101, 7748/4818 is

GCF of Numerators i.e. for 784,7748 is 4

LCM of denominators i.e. for 101,4818 is 486618.

Thus, GCF of Fractions is 4/486618.Finally, GCF of Fractions for 784/101, 7748/4818 is 4/486618.