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GCF of 245/315, 705/841

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 245/315, 705/841 i.e 5/264915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 245/315, 705/841.

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 245/315,705/841?

Given fractions are 245/315,705/841

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 245/315,705/841, numerators are 245,705

Denominators are 315,841

The GCF of 245,705 is 5 .

LCM of 315,841 is 264915.

The greatest common factor of 245/315,705/841 = [GCF of 245,705]/[LCM of 315,841]= 5/264915

Therefore, the GCF of 245/315,705/841 is 5/264915.

Greatest Common Factor of 245,705

To find the highest common factor of 245,705, 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 705 are 1, 3, 5, 15, 47, 141, 235, 705

The HCF of 245,705 is 5.

Lets's calculate GCF of 245,705

Greatest Common Factor (GCF) of 245,705 By Common Division

5 245, 705
49, 141

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

Greatest Common Factor of 245,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,705 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 705

:

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 245,705 . The biggest common factor number is the GCF number.
So the greatest common factor 245,705 is 5.

Lets's calculate LCM of 315,841

Lowest Common Multiple of 315,841 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 264915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/264915

Therefore, the GCF of Fractions 245/315,705/841 is 5/264915

Least Common Multiple of 315,841 with GCF Formula

Least Common Multiple of 315,841 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 315,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,841) = 1

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

GCF(315,841) x common factors =1 x 1 = 1

LCM(315,841) = ( 315 × 841 ) / 1

LCM(315,841) = 264915 / 1

LCM(315,841) = 264915


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FAQs on GCF of Fractions of 245/315, 705/841

1. What is the HCF of 245,705?

The HCF of 245,705 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 245/315, 705/841?

Answer: GCF of Numerators as per given numbers 245/315, 705/841 is

GCF of Numerators i.e. for 245,705 is 5

LCM of denominators i.e. for 315,841 is 264915.

Thus, GCF of Fractions is 5/264915.Finally, GCF of Fractions for 245/315, 705/841 is 5/264915.