How to Find GCF of 3703/959, 8501/4705?

GCF of 3703/959, 8501/4705

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 3703/959, 8501/4705 i.e 1/4512095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3703/959, 8501/4705.

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 3703/959,8501/4705?

Given fractions are 3703/959,8501/4705

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 3703/959,8501/4705, numerators are 3703,8501

Denominators are 959,4705

The GCF of 3703,8501 is 1 .

LCM of 959,4705 is 4512095.

The greatest common factor of 3703/959,8501/4705 = [GCF of 3703,8501]/[LCM of 959,4705]= 1/4512095

Therefore, the GCF of 3703/959,8501/4705 is 1/4512095.

Greatest Common Factor of 3703,8501

To find the highest common factor of 3703,8501, we have to find the factors of both numbers and list the highest common factor.

The factors of 3703 are 1, 7, 23, 161, 529, 3703

The factors of 8501 are 1, 8501

The HCF of 3703,8501 is 1.

Lets's calculate GCF of 3703,8501

Greatest Common Factor (GCF) of 3703,8501 By Common Division

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

Greatest Common Factor of 3703,8501 By Matching Biggest Common Factor Method

Now, list down the factors of 3703

1,7,23,161,529,3703

Now, list down the factors of 8501

1,8501

Greatest Common Factor

We found the factors 3703,8501 . The biggest common factor number is the GCF number.
So the greatest common factor 3703,8501 is 1.

Lets's calculate LCM of 959,4705

Lowest Common Multiple of 959,4705 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4512095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4512095

Therefore, the GCF of Fractions 3703/959,8501/4705 is 1/4512095

Least Common Multiple of 959,4705 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 959,4705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,4705) = 1

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

GCF(959,4705) x common factors =1 x 1 = 1

LCM(959,4705) = ( 959 × 4705 ) / 1

LCM(959,4705) = 4512095 / 1

LCM(959,4705) = 4512095

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FAQs on GCF of Fractions of 3703/959, 8501/4705

1. What is the HCF of 3703,8501?

The HCF of 3703,8501 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 3703/959, 8501/4705?

Answer: GCF of Numerators as per given numbers 3703/959, 8501/4705 is

GCF of Numerators i.e. for 3703,8501 is 1

LCM of denominators i.e. for 959,4705 is 4512095.

Thus, GCF of Fractions is 1/4512095.Finally, GCF of Fractions for 3703/959, 8501/4705 is 1/4512095.