Highest Common Factor of 584, 930 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 584, 930 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 584, 930 is 2 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 584, 930 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 584, 930 is 2.
HCF(584, 930) = 2
HCF of 584, 930 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 584, 930 is 2.
Highest Common Factor of 584,930 is 2
Step 1: Since 930 > 584, we apply the division lemma to 930 and 584, to get
930 = 584 x 1 + 346
Step 2: Since the reminder 584 ≠ 0, we apply division lemma to 346 and 584, to get
584 = 346 x 1 + 238
Step 3: We consider the new divisor 346 and the new remainder 238, and apply the division lemma to get
346 = 238 x 1 + 108
We consider the new divisor 238 and the new remainder 108,and apply the division lemma to get
238 = 108 x 2 + 22
We consider the new divisor 108 and the new remainder 22,and apply the division lemma to get
108 = 22 x 4 + 20
We consider the new divisor 22 and the new remainder 20,and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 584 and 930 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(108,22) = HCF(238,108) = HCF(346,238) = HCF(584,346) = HCF(930,584) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 584, 930 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 584, 930?
Answer: HCF of 584, 930 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 584, 930 using Euclid's Algorithm?
Answer: For arbitrary numbers 584, 930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.