Highest Common Factor of 925, 5233 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 925, 5233 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 925, 5233 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, 5233 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, 5233 is 1.
HCF(925, 5233) = 1
HCF of 925, 5233 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 925, 5233 is 1.
Highest Common Factor of 925,5233 is 1
Step 1: Since 5233 > 925, we apply the division lemma to 5233 and 925, to get
5233 = 925 x 5 + 608
Step 2: Since the reminder 925 ≠ 0, we apply division lemma to 608 and 925, to get
925 = 608 x 1 + 317
Step 3: We consider the new divisor 608 and the new remainder 317, and apply the division lemma to get
608 = 317 x 1 + 291
We consider the new divisor 317 and the new remainder 291,and apply the division lemma to get
317 = 291 x 1 + 26
We consider the new divisor 291 and the new remainder 26,and apply the division lemma to get
291 = 26 x 11 + 5
We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get
26 = 5 x 5 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 925 and 5233 is 1
Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(291,26) = HCF(317,291) = HCF(608,317) = HCF(925,608) = HCF(5233,925) .
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Frequently Asked Questions on HCF of 925, 5233 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 925, 5233?
Answer: HCF of 925, 5233 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 925, 5233 using Euclid's Algorithm?
Answer: For arbitrary numbers 925, 5233 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
