How to Find GCF of 804/345, 700/973?

GCF of 804/345, 700/973

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 804/345, 700/973 i.e 4/335685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 804/345, 700/973.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 804/345,700/973?

Given fractions are 804/345,700/973

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 804/345,700/973, numerators are 804,700

Denominators are 345,973

The GCF of 804,700 is 4 .

LCM of 345,973 is 335685.

The greatest common factor of 804/345,700/973 = [GCF of 804,700]/[LCM of 345,973]= 4/335685

Therefore, the GCF of 804/345,700/973 is 4/335685.

Greatest Common Factor of 804,700

To find the highest common factor of 804,700, we have to find the factors of both numbers and list the highest common factor.

The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

The HCF of 804,700 is 4.

Lets's calculate GCF of 804,700

Greatest Common Factor (GCF) of 804,700 By Common Division

2	804, 700
2	402, 350
	201, 175

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 804,700 By Matching Biggest Common Factor Method

Now, list down the factors of 804

1,2,3,4,6,12,67,134,201,268,402,804

Now, list down the factors of 700

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 804,700 . The biggest common factor number is the GCF number.
So the greatest common factor 804,700 is 4.

Lets's calculate LCM of 345,973

Lowest Common Multiple of 345,973 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 335685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/335685

Therefore, the GCF of Fractions 804/345,700/973 is 4/335685

Least Common Multiple of 345,973 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 345,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,973) = 1

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

GCF(345,973) x common factors =1 x 1 = 1

LCM(345,973) = ( 345 × 973 ) / 1

LCM(345,973) = 335685 / 1

LCM(345,973) = 335685

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FAQs on GCF of Fractions of 804/345, 700/973

1. What is the HCF of 804,700?

The HCF of 804,700 is 4

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 804/345, 700/973?

Answer: GCF of Numerators as per given numbers 804/345, 700/973 is

GCF of Numerators i.e. for 804,700 is 4

LCM of denominators i.e. for 345,973 is 335685.

Thus, GCF of Fractions is 4/335685.Finally, GCF of Fractions for 804/345, 700/973 is 4/335685.