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GCF of 847/904, 164/300

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 847/904, 164/300 i.e 1/67800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 847/904, 164/300.

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 847/904,164/300?

Given fractions are 847/904,164/300

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 847/904,164/300, numerators are 847,164

Denominators are 904,300

The GCF of 847,164 is 1 .

LCM of 904,300 is 67800.

The greatest common factor of 847/904,164/300 = [GCF of 847,164]/[LCM of 904,300]= 1/67800

Therefore, the GCF of 847/904,164/300 is 1/67800.

Greatest Common Factor of 847,164

To find the highest common factor of 847,164, we have to find the factors of both numbers and list the highest common factor.

The factors of 847 are 1, 7, 11, 77, 121, 847

The factors of 164 are 1, 2, 4, 41, 82, 164

The HCF of 847,164 is 1.

Lets's calculate GCF of 847,164

Greatest Common Factor (GCF) of 847,164 By Common Division

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

Greatest Common Factor of 847,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,164 By Matching Biggest Common Factor Method

Now, list down the factors of 847

:

1,7,11,77,121,847

Now, list down the factors of 164

:

1,2,4,41,82,164

Greatest Common Factor

We found the factors 847,164 . The biggest common factor number is the GCF number.
So the greatest common factor 847,164 is 1.

Lets's calculate LCM of 904,300

Lowest Common Multiple of 904,300 using Common Division

2 904, 300
2 452, 150
226, 75

∴ So the LCM of the given numbers is 2 x 2 x 226 x 75 = 67800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67800

Therefore, the GCF of Fractions 847/904,164/300 is 1/67800

Least Common Multiple of 904,300 with GCF Formula

Least Common Multiple of 904,300 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 904,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,300) = 4

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

GCF(904,300) x common factors =4 x 1 = 4

LCM(904,300) = ( 904 × 300 ) / 4

LCM(904,300) = 271200 / 4

LCM(904,300) = 67800


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FAQs on GCF of Fractions of 847/904, 164/300

1. What is the HCF of 847,164?

The HCF of 847,164 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 847/904, 164/300?

Answer: GCF of Numerators as per given numbers 847/904, 164/300 is

GCF of Numerators i.e. for 847,164 is 1

LCM of denominators i.e. for 904,300 is 67800.

Thus, GCF of Fractions is 1/67800.Finally, GCF of Fractions for 847/904, 164/300 is 1/67800.