Highest Common Factor of 588, 87680 using Euclid's algorithm
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 588, 87680 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 588, 87680 is 4 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 588, 87680 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 588, 87680 is 4.
HCF(588, 87680) = 4
HCF of 588, 87680 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 588, 87680 is 4.
Highest Common Factor of 588,87680 is 4
Step 1: Since 87680 > 588, we apply the division lemma to 87680 and 588, to get
87680 = 588 x 149 + 68
Step 2: Since the reminder 588 ≠ 0, we apply division lemma to 68 and 588, to get
588 = 68 x 8 + 44
Step 3: We consider the new divisor 68 and the new remainder 44, and apply the division lemma to get
68 = 44 x 1 + 24
We consider the new divisor 44 and the new remainder 24,and apply the division lemma to get
44 = 24 x 1 + 20
We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get
24 = 20 x 1 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 588 and 87680 is 4
Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(44,24) = HCF(68,44) = HCF(588,68) = HCF(87680,588) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 588, 87680 using Euclid's Algorithm
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 588, 87680?
Answer: HCF of 588, 87680 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 588, 87680 using Euclid's Algorithm?
Answer: For arbitrary numbers 588, 87680 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.