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GCF of 245/920, 300/271

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 245/920, 300/271 i.e 5/249320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 245/920, 300/271.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 245/920,300/271?

Given fractions are 245/920,300/271

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 245/920,300/271, numerators are 245,300

Denominators are 920,271

The GCF of 245,300 is 5 .

LCM of 920,271 is 249320.

The greatest common factor of 245/920,300/271 = [GCF of 245,300]/[LCM of 920,271]= 5/249320

Therefore, the GCF of 245/920,300/271 is 5/249320.

Greatest Common Factor of 245,300

To find the highest common factor of 245,300, we have to find the factors of both numbers and list the highest common factor.

The factors of 245 are 1, 5, 7, 35, 49, 245

The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

The HCF of 245,300 is 5.

Lets's calculate GCF of 245,300

Greatest Common Factor (GCF) of 245,300 By Common Division

5 245, 300
49, 60

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 245,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,300 By Matching Biggest Common Factor Method

Now, list down the factors of 245

:

1,5,7,35,49,245

Now, list down the factors of 300

:

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 245,300 . The biggest common factor number is the GCF number.
So the greatest common factor 245,300 is 5.

Lets's calculate LCM of 920,271

Lowest Common Multiple of 920,271 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 249320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/249320

Therefore, the GCF of Fractions 245/920,300/271 is 5/249320

Least Common Multiple of 920,271 with GCF Formula

Least Common Multiple of 920,271 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 920,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,271) = 1

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

GCF(920,271) x common factors =1 x 1 = 1

LCM(920,271) = ( 920 × 271 ) / 1

LCM(920,271) = 249320 / 1

LCM(920,271) = 249320


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FAQs on GCF of Fractions of 245/920, 300/271

1. What is the HCF of 245,300?

The HCF of 245,300 is 5

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 245/920, 300/271?

Answer: GCF of Numerators as per given numbers 245/920, 300/271 is

GCF of Numerators i.e. for 245,300 is 5

LCM of denominators i.e. for 920,271 is 249320.

Thus, GCF of Fractions is 5/249320.Finally, GCF of Fractions for 245/920, 300/271 is 5/249320.