Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 3381, 7127 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3381, 7127 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 3381, 7127 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 3381, 7127 is 1.
HCF(3381, 7127) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3381, 7127 is 1.
Step 1: Since 7127 > 3381, we apply the division lemma to 7127 and 3381, to get
7127 = 3381 x 2 + 365
Step 2: Since the reminder 3381 ≠ 0, we apply division lemma to 365 and 3381, to get
3381 = 365 x 9 + 96
Step 3: We consider the new divisor 365 and the new remainder 96, and apply the division lemma to get
365 = 96 x 3 + 77
We consider the new divisor 96 and the new remainder 77,and apply the division lemma to get
96 = 77 x 1 + 19
We consider the new divisor 77 and the new remainder 19,and apply the division lemma to get
77 = 19 x 4 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3381 and 7127 is 1
Notice that 1 = HCF(19,1) = HCF(77,19) = HCF(96,77) = HCF(365,96) = HCF(3381,365) = HCF(7127,3381) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 3381, 7127?
Answer: HCF of 3381, 7127 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3381, 7127 using Euclid's Algorithm?
Answer: For arbitrary numbers 3381, 7127 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.