How to Find GCF of 860/292, 8430/753?

GCF of 860/292, 8430/753

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 860/292, 8430/753 i.e 10/219876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/292, 8430/753.

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 860/292,8430/753?

Given fractions are 860/292,8430/753

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 860/292,8430/753, numerators are 860,8430

Denominators are 292,753

The GCF of 860,8430 is 10 .

LCM of 292,753 is 219876.

The greatest common factor of 860/292,8430/753 = [GCF of 860,8430]/[LCM of 292,753]= 10/219876

Therefore, the GCF of 860/292,8430/753 is 10/219876.

Greatest Common Factor of 860,8430

To find the highest common factor of 860,8430, we have to find the factors of both numbers and list the highest common factor.

The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

The factors of 8430 are 1, 2, 3, 5, 6, 10, 15, 30, 281, 562, 843, 1405, 1686, 2810, 4215, 8430

The HCF of 860,8430 is 10.

Lets's calculate GCF of 860,8430

Greatest Common Factor (GCF) of 860,8430 By Common Division

2	860, 8430
5	430, 4215
	86, 843

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 860,8430 By Matching Biggest Common Factor Method

Now, list down the factors of 860

1,2,4,5,10,20,43,86,172,215,430,860

Now, list down the factors of 8430

1,2,3,5,6,10,15,30,281,562,843,1405,1686,2810,4215,8430

Greatest Common Factor

We found the factors 860,8430 . The biggest common factor number is the GCF number.
So the greatest common factor 860,8430 is 10.

Lets's calculate LCM of 292,753

Lowest Common Multiple of 292,753 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 219876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/219876

Therefore, the GCF of Fractions 860/292,8430/753 is 10/219876

Least Common Multiple of 292,753 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 292,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,753) = 1

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

GCF(292,753) x common factors =1 x 1 = 1

LCM(292,753) = ( 292 × 753 ) / 1

LCM(292,753) = 219876 / 1

LCM(292,753) = 219876

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FAQs on GCF of Fractions of 860/292, 8430/753

1. What is the HCF of 860,8430?

The HCF of 860,8430 is 10

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 860/292, 8430/753?

Answer: GCF of Numerators as per given numbers 860/292, 8430/753 is

GCF of Numerators i.e. for 860,8430 is 10

LCM of denominators i.e. for 292,753 is 219876.

Thus, GCF of Fractions is 10/219876.Finally, GCF of Fractions for 860/292, 8430/753 is 10/219876.