How to Find GCF of 98/847, 4600/7705?

GCF of 98/847, 4600/7705

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 98/847, 4600/7705 i.e 2/6526135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/847, 4600/7705.

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 98/847,4600/7705?

Given fractions are 98/847,4600/7705

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 98/847,4600/7705, numerators are 98,4600

Denominators are 847,7705

The GCF of 98,4600 is 2 .

LCM of 847,7705 is 6526135.

The greatest common factor of 98/847,4600/7705 = [GCF of 98,4600]/[LCM of 847,7705]= 2/6526135

Therefore, the GCF of 98/847,4600/7705 is 2/6526135.

Greatest Common Factor of 98,4600

To find the highest common factor of 98,4600, we have to find the factors of both numbers and list the highest common factor.

The factors of 98 are 1, 2, 7, 14, 49, 98

The factors of 4600 are 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300, 4600

The HCF of 98,4600 is 2.

Lets's calculate GCF of 98,4600

Greatest Common Factor (GCF) of 98,4600 By Common Division

2	98, 4600
	49, 2300

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

Greatest Common Factor of 98,4600 By Matching Biggest Common Factor Method

Now, list down the factors of 98

1,2,7,14,49,98

Now, list down the factors of 4600

1,2,4,5,8,10,20,23,25,40,46,50,92,100,115,184,200,230,460,575,920,1150,2300,4600

Greatest Common Factor

We found the factors 98,4600 . The biggest common factor number is the GCF number.
So the greatest common factor 98,4600 is 2.

Lets's calculate LCM of 847,7705

Lowest Common Multiple of 847,7705 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6526135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6526135

Therefore, the GCF of Fractions 98/847,4600/7705 is 2/6526135

Least Common Multiple of 847,7705 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 847,7705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,7705) = 1

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

GCF(847,7705) x common factors =1 x 1 = 1

LCM(847,7705) = ( 847 × 7705 ) / 1

LCM(847,7705) = 6526135 / 1

LCM(847,7705) = 6526135

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FAQs on GCF of Fractions of 98/847, 4600/7705

1. What is the HCF of 98,4600?

The HCF of 98,4600 is 2

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 98/847, 4600/7705?

Answer: GCF of Numerators as per given numbers 98/847, 4600/7705 is

GCF of Numerators i.e. for 98,4600 is 2

LCM of denominators i.e. for 847,7705 is 6526135.

Thus, GCF of Fractions is 2/6526135.Finally, GCF of Fractions for 98/847, 4600/7705 is 2/6526135.