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 3355, 4827 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3355, 4827 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 3355, 4827 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 3355, 4827 is 1.
HCF(3355, 4827) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3355, 4827 is 1.
Step 1: Since 4827 > 3355, we apply the division lemma to 4827 and 3355, to get
4827 = 3355 x 1 + 1472
Step 2: Since the reminder 3355 ≠ 0, we apply division lemma to 1472 and 3355, to get
3355 = 1472 x 2 + 411
Step 3: We consider the new divisor 1472 and the new remainder 411, and apply the division lemma to get
1472 = 411 x 3 + 239
We consider the new divisor 411 and the new remainder 239,and apply the division lemma to get
411 = 239 x 1 + 172
We consider the new divisor 239 and the new remainder 172,and apply the division lemma to get
239 = 172 x 1 + 67
We consider the new divisor 172 and the new remainder 67,and apply the division lemma to get
172 = 67 x 2 + 38
We consider the new divisor 67 and the new remainder 38,and apply the division lemma to get
67 = 38 x 1 + 29
We consider the new divisor 38 and the new remainder 29,and apply the division lemma to get
38 = 29 x 1 + 9
We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get
29 = 9 x 3 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3355 and 4827 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(38,29) = HCF(67,38) = HCF(172,67) = HCF(239,172) = HCF(411,239) = HCF(1472,411) = HCF(3355,1472) = HCF(4827,3355) .
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 3355, 4827?
Answer: HCF of 3355, 4827 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3355, 4827 using Euclid's Algorithm?
Answer: For arbitrary numbers 3355, 4827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.