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 4707, 4436 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4707, 4436 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 4707, 4436 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 4707, 4436 is 1.
HCF(4707, 4436) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4707, 4436 is 1.
Step 1: Since 4707 > 4436, we apply the division lemma to 4707 and 4436, to get
4707 = 4436 x 1 + 271
Step 2: Since the reminder 4436 ≠ 0, we apply division lemma to 271 and 4436, to get
4436 = 271 x 16 + 100
Step 3: We consider the new divisor 271 and the new remainder 100, and apply the division lemma to get
271 = 100 x 2 + 71
We consider the new divisor 100 and the new remainder 71,and apply the division lemma to get
100 = 71 x 1 + 29
We consider the new divisor 71 and the new remainder 29,and apply the division lemma to get
71 = 29 x 2 + 13
We consider the new divisor 29 and the new remainder 13,and apply the division lemma to get
29 = 13 x 2 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4707 and 4436 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(71,29) = HCF(100,71) = HCF(271,100) = HCF(4436,271) = HCF(4707,4436) .
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 4707, 4436?
Answer: HCF of 4707, 4436 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4707, 4436 using Euclid's Algorithm?
Answer: For arbitrary numbers 4707, 4436 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.