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GCF of 3333/525, 1901/560

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 3333/525, 1901/560 i.e 1/8400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3333/525, 1901/560.

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 3333/525,1901/560?

Given fractions are 3333/525,1901/560

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 3333/525,1901/560, numerators are 3333,1901

Denominators are 525,560

The GCF of 3333,1901 is 1 .

LCM of 525,560 is 8400.

The greatest common factor of 3333/525,1901/560 = [GCF of 3333,1901]/[LCM of 525,560]= 1/8400

Therefore, the GCF of 3333/525,1901/560 is 1/8400.

Greatest Common Factor of 3333,1901

To find the highest common factor of 3333,1901, we have to find the factors of both numbers and list the highest common factor.

The factors of 3333 are 1, 3, 11, 33, 101, 303, 1111, 3333

The factors of 1901 are 1, 1901

The HCF of 3333,1901 is 1.

Lets's calculate GCF of 3333,1901

Greatest Common Factor (GCF) of 3333,1901 By Common Division

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

Greatest Common Factor of 3333,1901 By Matching Biggest Common Factor Method

Greatest Common Factor of 3333,1901 By Matching Biggest Common Factor Method

Now, list down the factors of 3333

:

1,3,11,33,101,303,1111,3333

Now, list down the factors of 1901

:

1,1901

Greatest Common Factor

We found the factors 3333,1901 . The biggest common factor number is the GCF number.
So the greatest common factor 3333,1901 is 1.

Lets's calculate LCM of 525,560

Lowest Common Multiple of 525,560 using Common Division

5 525, 560
7 105, 112
15, 16

∴ So the LCM of the given numbers is 5 x 7 x 15 x 16 = 8400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8400

Therefore, the GCF of Fractions 3333/525,1901/560 is 1/8400

Least Common Multiple of 525,560 with GCF Formula

Least Common Multiple of 525,560 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 525,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,560) = 35

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

GCF(525,560) x common factors =35 x 1 = 35

LCM(525,560) = ( 525 × 560 ) / 35

LCM(525,560) = 294000 / 35

LCM(525,560) = 8400


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FAQs on GCF of Fractions of 3333/525, 1901/560

1. What is the HCF of 3333,1901?

The HCF of 3333,1901 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 3333/525, 1901/560?

Answer: GCF of Numerators as per given numbers 3333/525, 1901/560 is

GCF of Numerators i.e. for 3333,1901 is 1

LCM of denominators i.e. for 525,560 is 8400.

Thus, GCF of Fractions is 1/8400.Finally, GCF of Fractions for 3333/525, 1901/560 is 1/8400.