How to Find GCF of 4319/804, 4380/854?

GCF of 4319/804, 4380/854

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 4319/804, 4380/854 i.e 1/343308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4319/804, 4380/854.

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 4319/804,4380/854?

Given fractions are 4319/804,4380/854

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 4319/804,4380/854, numerators are 4319,4380

Denominators are 804,854

The GCF of 4319,4380 is 1 .

LCM of 804,854 is 343308.

The greatest common factor of 4319/804,4380/854 = [GCF of 4319,4380]/[LCM of 804,854]= 1/343308

Therefore, the GCF of 4319/804,4380/854 is 1/343308.

Greatest Common Factor of 4319,4380

To find the highest common factor of 4319,4380, we have to find the factors of both numbers and list the highest common factor.

The factors of 4319 are 1, 7, 617, 4319

The factors of 4380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190, 4380

The HCF of 4319,4380 is 1.

Lets's calculate GCF of 4319,4380

Greatest Common Factor (GCF) of 4319,4380 By Common Division

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

Greatest Common Factor of 4319,4380 By Matching Biggest Common Factor Method

Now, list down the factors of 4319

1,7,617,4319

Now, list down the factors of 4380

1,2,3,4,5,6,10,12,15,20,30,60,73,146,219,292,365,438,730,876,1095,1460,2190,4380

Greatest Common Factor

We found the factors 4319,4380 . The biggest common factor number is the GCF number.
So the greatest common factor 4319,4380 is 1.

Lets's calculate LCM of 804,854

Lowest Common Multiple of 804,854 using Common Division

2	804, 854
	402, 427

∴ So the LCM of the given numbers is 2 x 402 x 427 = 343308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343308

Therefore, the GCF of Fractions 4319/804,4380/854 is 1/343308

Least Common Multiple of 804,854 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 804,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,854) = 2

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

GCF(804,854) x common factors =2 x 1 = 2

LCM(804,854) = ( 804 × 854 ) / 2

LCM(804,854) = 686616 / 2

LCM(804,854) = 343308

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FAQs on GCF of Fractions of 4319/804, 4380/854

1. What is the HCF of 4319,4380?

The HCF of 4319,4380 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 4319/804, 4380/854?

Answer: GCF of Numerators as per given numbers 4319/804, 4380/854 is

GCF of Numerators i.e. for 4319,4380 is 1

LCM of denominators i.e. for 804,854 is 343308.

Thus, GCF of Fractions is 1/343308.Finally, GCF of Fractions for 4319/804, 4380/854 is 1/343308.