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 4589, 7976 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4589, 7976 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 4589, 7976 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 4589, 7976 is 1.
HCF(4589, 7976) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4589, 7976 is 1.
Step 1: Since 7976 > 4589, we apply the division lemma to 7976 and 4589, to get
7976 = 4589 x 1 + 3387
Step 2: Since the reminder 4589 ≠ 0, we apply division lemma to 3387 and 4589, to get
4589 = 3387 x 1 + 1202
Step 3: We consider the new divisor 3387 and the new remainder 1202, and apply the division lemma to get
3387 = 1202 x 2 + 983
We consider the new divisor 1202 and the new remainder 983,and apply the division lemma to get
1202 = 983 x 1 + 219
We consider the new divisor 983 and the new remainder 219,and apply the division lemma to get
983 = 219 x 4 + 107
We consider the new divisor 219 and the new remainder 107,and apply the division lemma to get
219 = 107 x 2 + 5
We consider the new divisor 107 and the new remainder 5,and apply the division lemma to get
107 = 5 x 21 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 4589 and 7976 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(107,5) = HCF(219,107) = HCF(983,219) = HCF(1202,983) = HCF(3387,1202) = HCF(4589,3387) = HCF(7976,4589) .
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 4589, 7976?
Answer: HCF of 4589, 7976 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4589, 7976 using Euclid's Algorithm?
Answer: For arbitrary numbers 4589, 7976 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.