Highest Common Factor of 988, 530 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 988, 530 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 988, 530 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 988, 530 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 988, 530 is 2.
HCF(988, 530) = 2
HCF of 988, 530 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 988, 530 is 2.
Highest Common Factor of 988,530 is 2
Step 1: Since 988 > 530, we apply the division lemma to 988 and 530, to get
988 = 530 x 1 + 458
Step 2: Since the reminder 530 ≠ 0, we apply division lemma to 458 and 530, to get
530 = 458 x 1 + 72
Step 3: We consider the new divisor 458 and the new remainder 72, and apply the division lemma to get
458 = 72 x 6 + 26
We consider the new divisor 72 and the new remainder 26,and apply the division lemma to get
72 = 26 x 2 + 20
We consider the new divisor 26 and the new remainder 20,and apply the division lemma to get
26 = 20 x 1 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 988 and 530 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(72,26) = HCF(458,72) = HCF(530,458) = HCF(988,530) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 988, 530 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 988, 530?
Answer: HCF of 988, 530 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 988, 530 using Euclid's Algorithm?
Answer: For arbitrary numbers 988, 530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
