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 925, 584 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 925, 584 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 925, 584 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 925, 584 is 1.
HCF(925, 584) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 925, 584 is 1.
Step 1: Since 925 > 584, we apply the division lemma to 925 and 584, to get
925 = 584 x 1 + 341
Step 2: Since the reminder 584 ≠ 0, we apply division lemma to 341 and 584, to get
584 = 341 x 1 + 243
Step 3: We consider the new divisor 341 and the new remainder 243, and apply the division lemma to get
341 = 243 x 1 + 98
We consider the new divisor 243 and the new remainder 98,and apply the division lemma to get
243 = 98 x 2 + 47
We consider the new divisor 98 and the new remainder 47,and apply the division lemma to get
98 = 47 x 2 + 4
We consider the new divisor 47 and the new remainder 4,and apply the division lemma to get
47 = 4 x 11 + 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 925 and 584 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(47,4) = HCF(98,47) = HCF(243,98) = HCF(341,243) = HCF(584,341) = HCF(925,584) .
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 925, 584?
Answer: HCF of 925, 584 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 925, 584 using Euclid's Algorithm?
Answer: For arbitrary numbers 925, 584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.