Highest Common Factor of 598, 821 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 598, 821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 598, 821 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 598, 821 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 598, 821 is 1.
HCF(598, 821) = 1
HCF of 598, 821 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 598, 821 is 1.
Highest Common Factor of 598,821 is 1
Step 1: Since 821 > 598, we apply the division lemma to 821 and 598, to get
821 = 598 x 1 + 223
Step 2: Since the reminder 598 ≠ 0, we apply division lemma to 223 and 598, to get
598 = 223 x 2 + 152
Step 3: We consider the new divisor 223 and the new remainder 152, and apply the division lemma to get
223 = 152 x 1 + 71
We consider the new divisor 152 and the new remainder 71,and apply the division lemma to get
152 = 71 x 2 + 10
We consider the new divisor 71 and the new remainder 10,and apply the division lemma to get
71 = 10 x 7 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 598 and 821 is 1
Notice that 1 = HCF(10,1) = HCF(71,10) = HCF(152,71) = HCF(223,152) = HCF(598,223) = HCF(821,598) .
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Frequently Asked Questions on HCF of 598, 821 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 598, 821?
Answer: HCF of 598, 821 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 598, 821 using Euclid's Algorithm?
Answer: For arbitrary numbers 598, 821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.