How to Find GCF of 5498/245, 8305/1756?

GCF of 5498/245, 8305/1756

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 5498/245, 8305/1756 i.e 1/430220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5498/245, 8305/1756.

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 5498/245,8305/1756?

Given fractions are 5498/245,8305/1756

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 5498/245,8305/1756, numerators are 5498,8305

Denominators are 245,1756

The GCF of 5498,8305 is 1 .

LCM of 245,1756 is 430220.

The greatest common factor of 5498/245,8305/1756 = [GCF of 5498,8305]/[LCM of 245,1756]= 1/430220

Therefore, the GCF of 5498/245,8305/1756 is 1/430220.

Greatest Common Factor of 5498,8305

To find the highest common factor of 5498,8305, we have to find the factors of both numbers and list the highest common factor.

The factors of 5498 are 1, 2, 2749, 5498

The factors of 8305 are 1, 5, 11, 55, 151, 755, 1661, 8305

The HCF of 5498,8305 is 1.

Lets's calculate GCF of 5498,8305

Greatest Common Factor (GCF) of 5498,8305 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5498,8305 By Matching Biggest Common Factor Method

Now, list down the factors of 5498

1,2,2749,5498

Now, list down the factors of 8305

1,5,11,55,151,755,1661,8305

Greatest Common Factor

We found the factors 5498,8305 . The biggest common factor number is the GCF number.
So the greatest common factor 5498,8305 is 1.

Lets's calculate LCM of 245,1756

Lowest Common Multiple of 245,1756 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 430220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430220

Therefore, the GCF of Fractions 5498/245,8305/1756 is 1/430220

Least Common Multiple of 245,1756 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 245,1756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,1756) = 1

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

GCF(245,1756) x common factors =1 x 1 = 1

LCM(245,1756) = ( 245 × 1756 ) / 1

LCM(245,1756) = 430220 / 1

LCM(245,1756) = 430220

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FAQs on GCF of Fractions of 5498/245, 8305/1756

1. What is the HCF of 5498,8305?

The HCF of 5498,8305 is 1

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 5498/245, 8305/1756?

Answer: GCF of Numerators as per given numbers 5498/245, 8305/1756 is

GCF of Numerators i.e. for 5498,8305 is 1

LCM of denominators i.e. for 245,1756 is 430220.

Thus, GCF of Fractions is 1/430220.Finally, GCF of Fractions for 5498/245, 8305/1756 is 1/430220.