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 6411, 3777 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6411, 3777 is 3 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 6411, 3777 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 6411, 3777 is 3.
HCF(6411, 3777) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6411, 3777 is 3.
Step 1: Since 6411 > 3777, we apply the division lemma to 6411 and 3777, to get
6411 = 3777 x 1 + 2634
Step 2: Since the reminder 3777 ≠ 0, we apply division lemma to 2634 and 3777, to get
3777 = 2634 x 1 + 1143
Step 3: We consider the new divisor 2634 and the new remainder 1143, and apply the division lemma to get
2634 = 1143 x 2 + 348
We consider the new divisor 1143 and the new remainder 348,and apply the division lemma to get
1143 = 348 x 3 + 99
We consider the new divisor 348 and the new remainder 99,and apply the division lemma to get
348 = 99 x 3 + 51
We consider the new divisor 99 and the new remainder 51,and apply the division lemma to get
99 = 51 x 1 + 48
We consider the new divisor 51 and the new remainder 48,and apply the division lemma to get
51 = 48 x 1 + 3
We consider the new divisor 48 and the new remainder 3,and apply the division lemma to get
48 = 3 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6411 and 3777 is 3
Notice that 3 = HCF(48,3) = HCF(51,48) = HCF(99,51) = HCF(348,99) = HCF(1143,348) = HCF(2634,1143) = HCF(3777,2634) = HCF(6411,3777) .
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 6411, 3777?
Answer: HCF of 6411, 3777 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6411, 3777 using Euclid's Algorithm?
Answer: For arbitrary numbers 6411, 3777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.