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 4317, 6652 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4317, 6652 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 4317, 6652 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 4317, 6652 is 1.
HCF(4317, 6652) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4317, 6652 is 1.
Step 1: Since 6652 > 4317, we apply the division lemma to 6652 and 4317, to get
6652 = 4317 x 1 + 2335
Step 2: Since the reminder 4317 ≠ 0, we apply division lemma to 2335 and 4317, to get
4317 = 2335 x 1 + 1982
Step 3: We consider the new divisor 2335 and the new remainder 1982, and apply the division lemma to get
2335 = 1982 x 1 + 353
We consider the new divisor 1982 and the new remainder 353,and apply the division lemma to get
1982 = 353 x 5 + 217
We consider the new divisor 353 and the new remainder 217,and apply the division lemma to get
353 = 217 x 1 + 136
We consider the new divisor 217 and the new remainder 136,and apply the division lemma to get
217 = 136 x 1 + 81
We consider the new divisor 136 and the new remainder 81,and apply the division lemma to get
136 = 81 x 1 + 55
We consider the new divisor 81 and the new remainder 55,and apply the division lemma to get
81 = 55 x 1 + 26
We consider the new divisor 55 and the new remainder 26,and apply the division lemma to get
55 = 26 x 2 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 4317 and 6652 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(55,26) = HCF(81,55) = HCF(136,81) = HCF(217,136) = HCF(353,217) = HCF(1982,353) = HCF(2335,1982) = HCF(4317,2335) = HCF(6652,4317) .
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 4317, 6652?
Answer: HCF of 4317, 6652 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4317, 6652 using Euclid's Algorithm?
Answer: For arbitrary numbers 4317, 6652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.