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 4597, 8955, 70583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4597, 8955, 70583 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 4597, 8955, 70583 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 4597, 8955, 70583 is 1.
HCF(4597, 8955, 70583) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4597, 8955, 70583 is 1.
Step 1: Since 8955 > 4597, we apply the division lemma to 8955 and 4597, to get
8955 = 4597 x 1 + 4358
Step 2: Since the reminder 4597 ≠ 0, we apply division lemma to 4358 and 4597, to get
4597 = 4358 x 1 + 239
Step 3: We consider the new divisor 4358 and the new remainder 239, and apply the division lemma to get
4358 = 239 x 18 + 56
We consider the new divisor 239 and the new remainder 56,and apply the division lemma to get
239 = 56 x 4 + 15
We consider the new divisor 56 and the new remainder 15,and apply the division lemma to get
56 = 15 x 3 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 4597 and 8955 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(56,15) = HCF(239,56) = HCF(4358,239) = HCF(4597,4358) = HCF(8955,4597) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70583 > 1, we apply the division lemma to 70583 and 1, to get
70583 = 1 x 70583 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70583 is 1
Notice that 1 = HCF(70583,1) .
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 4597, 8955, 70583?
Answer: HCF of 4597, 8955, 70583 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4597, 8955, 70583 using Euclid's Algorithm?
Answer: For arbitrary numbers 4597, 8955, 70583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.