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GCF of 245/30, 164/562

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 245/30, 164/562 i.e 1/8430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 245/30, 164/562.

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 245/30,164/562?

Given fractions are 245/30,164/562

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 245/30,164/562, numerators are 245,164

Denominators are 30,562

The GCF of 245,164 is 1 .

LCM of 30,562 is 8430.

The greatest common factor of 245/30,164/562 = [GCF of 245,164]/[LCM of 30,562]= 1/8430

Therefore, the GCF of 245/30,164/562 is 1/8430.

Greatest Common Factor of 245,164

To find the highest common factor of 245,164, 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 164 are 1, 2, 4, 41, 82, 164

The HCF of 245,164 is 1.

Lets's calculate GCF of 245,164

Greatest Common Factor (GCF) of 245,164 By Common Division

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

Greatest Common Factor of 245,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,164 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 164

:

1,2,4,41,82,164

Greatest Common Factor

We found the factors 245,164 . The biggest common factor number is the GCF number.
So the greatest common factor 245,164 is 1.

Lets's calculate LCM of 30,562

Lowest Common Multiple of 30,562 using Common Division

2 30, 562
15, 281

∴ So the LCM of the given numbers is 2 x 15 x 281 = 8430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8430

Therefore, the GCF of Fractions 245/30,164/562 is 1/8430

Least Common Multiple of 30,562 with GCF Formula

Least Common Multiple of 30,562 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 30,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,562) = 2

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

GCF(30,562) x common factors =2 x 1 = 2

LCM(30,562) = ( 30 × 562 ) / 2

LCM(30,562) = 16860 / 2

LCM(30,562) = 8430


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FAQs on GCF of Fractions of 245/30, 164/562

1. What is the HCF of 245,164?

The HCF of 245,164 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 245/30, 164/562?

Answer: GCF of Numerators as per given numbers 245/30, 164/562 is

GCF of Numerators i.e. for 245,164 is 1

LCM of denominators i.e. for 30,562 is 8430.

Thus, GCF of Fractions is 1/8430.Finally, GCF of Fractions for 245/30, 164/562 is 1/8430.