How to Find GCF of 9562/254, 7702/899?

GCF of 9562/254, 7702/899

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 9562/254, 7702/899 i.e 2/228346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9562/254, 7702/899.

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 9562/254,7702/899?

Given fractions are 9562/254,7702/899

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 9562/254,7702/899, numerators are 9562,7702

Denominators are 254,899

The GCF of 9562,7702 is 2 .

LCM of 254,899 is 228346.

The greatest common factor of 9562/254,7702/899 = [GCF of 9562,7702]/[LCM of 254,899]= 2/228346

Therefore, the GCF of 9562/254,7702/899 is 2/228346.

Greatest Common Factor of 9562,7702

To find the highest common factor of 9562,7702, we have to find the factors of both numbers and list the highest common factor.

The factors of 9562 are 1, 2, 7, 14, 683, 1366, 4781, 9562

The factors of 7702 are 1, 2, 3851, 7702

The HCF of 9562,7702 is 2.

Lets's calculate GCF of 9562,7702

Greatest Common Factor (GCF) of 9562,7702 By Common Division

2	9562, 7702
	4781, 3851

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

Greatest Common Factor of 9562,7702 By Matching Biggest Common Factor Method

Now, list down the factors of 9562

1,2,7,14,683,1366,4781,9562

Now, list down the factors of 7702

1,2,3851,7702

Greatest Common Factor

We found the factors 9562,7702 . The biggest common factor number is the GCF number.
So the greatest common factor 9562,7702 is 2.

Lets's calculate LCM of 254,899

Lowest Common Multiple of 254,899 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 228346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/228346

Therefore, the GCF of Fractions 9562/254,7702/899 is 2/228346

Least Common Multiple of 254,899 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 254,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,899) = 1

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

GCF(254,899) x common factors =1 x 1 = 1

LCM(254,899) = ( 254 × 899 ) / 1

LCM(254,899) = 228346 / 1

LCM(254,899) = 228346

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9562/254, 7702/899

1. What is the HCF of 9562,7702?

The HCF of 9562,7702 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 9562/254, 7702/899?

Answer: GCF of Numerators as per given numbers 9562/254, 7702/899 is

GCF of Numerators i.e. for 9562,7702 is 2

LCM of denominators i.e. for 254,899 is 228346.

Thus, GCF of Fractions is 2/228346.Finally, GCF of Fractions for 9562/254, 7702/899 is 2/228346.