How to Find GCF of 1876/847, 9921/8465?

GCF of 1876/847, 9921/8465

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 1876/847, 9921/8465 i.e 1/7169855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1876/847, 9921/8465.

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 1876/847,9921/8465?

Given fractions are 1876/847,9921/8465

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 1876/847,9921/8465, numerators are 1876,9921

Denominators are 847,8465

The GCF of 1876,9921 is 1 .

LCM of 847,8465 is 7169855.

The greatest common factor of 1876/847,9921/8465 = [GCF of 1876,9921]/[LCM of 847,8465]= 1/7169855

Therefore, the GCF of 1876/847,9921/8465 is 1/7169855.

Greatest Common Factor of 1876,9921

To find the highest common factor of 1876,9921, we have to find the factors of both numbers and list the highest common factor.

The factors of 1876 are 1, 2, 4, 7, 14, 28, 67, 134, 268, 469, 938, 1876

The factors of 9921 are 1, 3, 3307, 9921

The HCF of 1876,9921 is 1.

Lets's calculate GCF of 1876,9921

Greatest Common Factor (GCF) of 1876,9921 By Common Division

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

Greatest Common Factor of 1876,9921 By Matching Biggest Common Factor Method

Now, list down the factors of 1876

1,2,4,7,14,28,67,134,268,469,938,1876

Now, list down the factors of 9921

1,3,3307,9921

Greatest Common Factor

We found the factors 1876,9921 . The biggest common factor number is the GCF number.
So the greatest common factor 1876,9921 is 1.

Lets's calculate LCM of 847,8465

Lowest Common Multiple of 847,8465 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7169855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7169855

Therefore, the GCF of Fractions 1876/847,9921/8465 is 1/7169855

Least Common Multiple of 847,8465 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 847,8465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,8465) = 1

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

GCF(847,8465) x common factors =1 x 1 = 1

LCM(847,8465) = ( 847 × 8465 ) / 1

LCM(847,8465) = 7169855 / 1

LCM(847,8465) = 7169855

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FAQs on GCF of Fractions of 1876/847, 9921/8465

1. What is the HCF of 1876,9921?

The HCF of 1876,9921 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 1876/847, 9921/8465?

Answer: GCF of Numerators as per given numbers 1876/847, 9921/8465 is

GCF of Numerators i.e. for 1876,9921 is 1

LCM of denominators i.e. for 847,8465 is 7169855.

Thus, GCF of Fractions is 1/7169855.Finally, GCF of Fractions for 1876/847, 9921/8465 is 1/7169855.