How to Find GCF of 3508/948, 1861/8750?

GCF of 3508/948, 1861/8750

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 3508/948, 1861/8750 i.e 1/4147500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3508/948, 1861/8750.

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 3508/948,1861/8750?

Given fractions are 3508/948,1861/8750

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 3508/948,1861/8750, numerators are 3508,1861

Denominators are 948,8750

The GCF of 3508,1861 is 1 .

LCM of 948,8750 is 4147500.

The greatest common factor of 3508/948,1861/8750 = [GCF of 3508,1861]/[LCM of 948,8750]= 1/4147500

Therefore, the GCF of 3508/948,1861/8750 is 1/4147500.

Greatest Common Factor of 3508,1861

To find the highest common factor of 3508,1861, we have to find the factors of both numbers and list the highest common factor.

The factors of 3508 are 1, 2, 4, 877, 1754, 3508

The factors of 1861 are 1, 1861

The HCF of 3508,1861 is 1.

Lets's calculate GCF of 3508,1861

Greatest Common Factor (GCF) of 3508,1861 By Common Division

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

Greatest Common Factor of 3508,1861 By Matching Biggest Common Factor Method

Now, list down the factors of 3508

1,2,4,877,1754,3508

Now, list down the factors of 1861

1,1861

Greatest Common Factor

We found the factors 3508,1861 . The biggest common factor number is the GCF number.
So the greatest common factor 3508,1861 is 1.

Lets's calculate LCM of 948,8750

Lowest Common Multiple of 948,8750 using Common Division

2	948, 8750
	474, 4375

∴ So the LCM of the given numbers is 2 x 474 x 4375 = 4147500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4147500

Therefore, the GCF of Fractions 3508/948,1861/8750 is 1/4147500

Least Common Multiple of 948,8750 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 948,8750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,8750) = 2

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

GCF(948,8750) x common factors =2 x 1 = 2

LCM(948,8750) = ( 948 × 8750 ) / 2

LCM(948,8750) = 8295000 / 2

LCM(948,8750) = 4147500

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FAQs on GCF of Fractions of 3508/948, 1861/8750

1. What is the HCF of 3508,1861?

The HCF of 3508,1861 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 3508/948, 1861/8750?

Answer: GCF of Numerators as per given numbers 3508/948, 1861/8750 is

GCF of Numerators i.e. for 3508,1861 is 1

LCM of denominators i.e. for 948,8750 is 4147500.

Thus, GCF of Fractions is 1/4147500.Finally, GCF of Fractions for 3508/948, 1861/8750 is 1/4147500.