How to Find GCF of 1777/953, 3709/9424?

GCF of 1777/953, 3709/9424

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 1777/953, 3709/9424 i.e 1/8981072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1777/953, 3709/9424.

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 1777/953,3709/9424?

Given fractions are 1777/953,3709/9424

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 1777/953,3709/9424, numerators are 1777,3709

Denominators are 953,9424

The GCF of 1777,3709 is 1 .

LCM of 953,9424 is 8981072.

The greatest common factor of 1777/953,3709/9424 = [GCF of 1777,3709]/[LCM of 953,9424]= 1/8981072

Therefore, the GCF of 1777/953,3709/9424 is 1/8981072.

Greatest Common Factor of 1777,3709

To find the highest common factor of 1777,3709, we have to find the factors of both numbers and list the highest common factor.

The factors of 1777 are 1, 1777

The factors of 3709 are 1, 3709

The HCF of 1777,3709 is 1.

Lets's calculate GCF of 1777,3709

Greatest Common Factor (GCF) of 1777,3709 By Common Division

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

Greatest Common Factor of 1777,3709 By Matching Biggest Common Factor Method

Now, list down the factors of 1777

1,1777

Now, list down the factors of 3709

1,3709

Greatest Common Factor

We found the factors 1777,3709 . The biggest common factor number is the GCF number.
So the greatest common factor 1777,3709 is 1.

Lets's calculate LCM of 953,9424

Lowest Common Multiple of 953,9424 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8981072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8981072

Therefore, the GCF of Fractions 1777/953,3709/9424 is 1/8981072

Least Common Multiple of 953,9424 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 953,9424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,9424) = 1

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

GCF(953,9424) x common factors =1 x 1 = 1

LCM(953,9424) = ( 953 × 9424 ) / 1

LCM(953,9424) = 8981072 / 1

LCM(953,9424) = 8981072

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FAQs on GCF of Fractions of 1777/953, 3709/9424

1. What is the HCF of 1777,3709?

The HCF of 1777,3709 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 1777/953, 3709/9424?

Answer: GCF of Numerators as per given numbers 1777/953, 3709/9424 is

GCF of Numerators i.e. for 1777,3709 is 1

LCM of denominators i.e. for 953,9424 is 8981072.

Thus, GCF of Fractions is 1/8981072.Finally, GCF of Fractions for 1777/953, 3709/9424 is 1/8981072.