Highest Common Factor of 526, 982 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 526, 982 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 526, 982 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 526, 982 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 526, 982 is 2.
HCF(526, 982) = 2
HCF of 526, 982 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 526, 982 is 2.
Highest Common Factor of 526,982 is 2
Step 1: Since 982 > 526, we apply the division lemma to 982 and 526, to get
982 = 526 x 1 + 456
Step 2: Since the reminder 526 ≠ 0, we apply division lemma to 456 and 526, to get
526 = 456 x 1 + 70
Step 3: We consider the new divisor 456 and the new remainder 70, and apply the division lemma to get
456 = 70 x 6 + 36
We consider the new divisor 70 and the new remainder 36,and apply the division lemma to get
70 = 36 x 1 + 34
We consider the new divisor 36 and the new remainder 34,and apply the division lemma to get
36 = 34 x 1 + 2
We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get
34 = 2 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 526 and 982 is 2
Notice that 2 = HCF(34,2) = HCF(36,34) = HCF(70,36) = HCF(456,70) = HCF(526,456) = HCF(982,526) .
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Frequently Asked Questions on HCF of 526, 982 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 526, 982?
Answer: HCF of 526, 982 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 526, 982 using Euclid's Algorithm?
Answer: For arbitrary numbers 526, 982 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
