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GCF of 823/525, 140/385

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 823/525, 140/385 i.e 1/5775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 823/525, 140/385.

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 823/525,140/385?

Given fractions are 823/525,140/385

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 823/525,140/385, numerators are 823,140

Denominators are 525,385

The GCF of 823,140 is 1 .

LCM of 525,385 is 5775.

The greatest common factor of 823/525,140/385 = [GCF of 823,140]/[LCM of 525,385]= 1/5775

Therefore, the GCF of 823/525,140/385 is 1/5775.

Greatest Common Factor of 823,140

To find the highest common factor of 823,140, we have to find the factors of both numbers and list the highest common factor.

The factors of 823 are 1, 823

The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

The HCF of 823,140 is 1.

Lets's calculate GCF of 823,140

Greatest Common Factor (GCF) of 823,140 By Common Division

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

Greatest Common Factor of 823,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,140 By Matching Biggest Common Factor Method

Now, list down the factors of 823

:

1,823

Now, list down the factors of 140

:

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 823,140 . The biggest common factor number is the GCF number.
So the greatest common factor 823,140 is 1.

Lets's calculate LCM of 525,385

Lowest Common Multiple of 525,385 using Common Division

5 525, 385
7 105, 77
15, 11

∴ So the LCM of the given numbers is 5 x 7 x 15 x 11 = 5775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5775

Therefore, the GCF of Fractions 823/525,140/385 is 1/5775

Least Common Multiple of 525,385 with GCF Formula

Least Common Multiple of 525,385 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 525,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,385) = 35

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

GCF(525,385) x common factors =35 x 1 = 35

LCM(525,385) = ( 525 × 385 ) / 35

LCM(525,385) = 202125 / 35

LCM(525,385) = 5775


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FAQs on GCF of Fractions of 823/525, 140/385

1. What is the HCF of 823,140?

The HCF of 823,140 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 823/525, 140/385?

Answer: GCF of Numerators as per given numbers 823/525, 140/385 is

GCF of Numerators i.e. for 823,140 is 1

LCM of denominators i.e. for 525,385 is 5775.

Thus, GCF of Fractions is 1/5775.Finally, GCF of Fractions for 823/525, 140/385 is 1/5775.