Highest Common Factor of 500, 921, 524 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 500, 921, 524 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 500, 921, 524 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 500, 921, 524 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 500, 921, 524 is 1.
HCF(500, 921, 524) = 1
HCF of 500, 921, 524 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 500, 921, 524 is 1.
Highest Common Factor of 500,921,524 is 1
Step 1: Since 921 > 500, we apply the division lemma to 921 and 500, to get
921 = 500 x 1 + 421
Step 2: Since the reminder 500 ≠ 0, we apply division lemma to 421 and 500, to get
500 = 421 x 1 + 79
Step 3: We consider the new divisor 421 and the new remainder 79, and apply the division lemma to get
421 = 79 x 5 + 26
We consider the new divisor 79 and the new remainder 26,and apply the division lemma to get
79 = 26 x 3 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 500 and 921 is 1
Notice that 1 = HCF(26,1) = HCF(79,26) = HCF(421,79) = HCF(500,421) = HCF(921,500) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 524 > 1, we apply the division lemma to 524 and 1, to get
524 = 1 x 524 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 524 is 1
Notice that 1 = HCF(524,1) .
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Frequently Asked Questions on HCF of 500, 921, 524 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 500, 921, 524?
Answer: HCF of 500, 921, 524 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 500, 921, 524 using Euclid's Algorithm?
Answer: For arbitrary numbers 500, 921, 524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.