How to Find GCF of 9350/105, 5416/6764?

GCF of 9350/105, 5416/6764

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 9350/105, 5416/6764 i.e 2/710220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9350/105, 5416/6764.

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 9350/105,5416/6764?

Given fractions are 9350/105,5416/6764

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 9350/105,5416/6764, numerators are 9350,5416

Denominators are 105,6764

The GCF of 9350,5416 is 2 .

LCM of 105,6764 is 710220.

The greatest common factor of 9350/105,5416/6764 = [GCF of 9350,5416]/[LCM of 105,6764]= 2/710220

Therefore, the GCF of 9350/105,5416/6764 is 2/710220.

Greatest Common Factor of 9350,5416

To find the highest common factor of 9350,5416, we have to find the factors of both numbers and list the highest common factor.

The factors of 9350 are 1, 2, 5, 10, 11, 17, 22, 25, 34, 50, 55, 85, 110, 170, 187, 275, 374, 425, 550, 850, 935, 1870, 4675, 9350

The factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416

The HCF of 9350,5416 is 2.

Lets's calculate GCF of 9350,5416

Greatest Common Factor (GCF) of 9350,5416 By Common Division

2	9350, 5416
	4675, 2708

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

Greatest Common Factor of 9350,5416 By Matching Biggest Common Factor Method

Now, list down the factors of 9350

1,2,5,10,11,17,22,25,34,50,55,85,110,170,187,275,374,425,550,850,935,1870,4675,9350

Now, list down the factors of 5416

1,2,4,8,677,1354,2708,5416

Greatest Common Factor

We found the factors 9350,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 9350,5416 is 2.

Lets's calculate LCM of 105,6764

Lowest Common Multiple of 105,6764 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 710220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/710220

Therefore, the GCF of Fractions 9350/105,5416/6764 is 2/710220

Least Common Multiple of 105,6764 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 105,6764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,6764) = 1

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

GCF(105,6764) x common factors =1 x 1 = 1

LCM(105,6764) = ( 105 × 6764 ) / 1

LCM(105,6764) = 710220 / 1

LCM(105,6764) = 710220

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9350/105, 5416/6764

1. What is the HCF of 9350,5416?

The HCF of 9350,5416 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 9350/105, 5416/6764?

Answer: GCF of Numerators as per given numbers 9350/105, 5416/6764 is

GCF of Numerators i.e. for 9350,5416 is 2

LCM of denominators i.e. for 105,6764 is 710220.

Thus, GCF of Fractions is 2/710220.Finally, GCF of Fractions for 9350/105, 5416/6764 is 2/710220.