Highest Common Factor of 1506, 9032 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 1506, 9032 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1506, 9032 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 1506, 9032 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 1506, 9032 is 2.
HCF(1506, 9032) = 2
HCF of 1506, 9032 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1506, 9032 is 2.
Highest Common Factor of 1506,9032 is 2
Step 1: Since 9032 > 1506, we apply the division lemma to 9032 and 1506, to get
9032 = 1506 x 5 + 1502
Step 2: Since the reminder 1506 ≠ 0, we apply division lemma to 1502 and 1506, to get
1506 = 1502 x 1 + 4
Step 3: We consider the new divisor 1502 and the new remainder 4, and apply the division lemma to get
1502 = 4 x 375 + 2
We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1506 and 9032 is 2
Notice that 2 = HCF(4,2) = HCF(1502,4) = HCF(1506,1502) = HCF(9032,1506) .
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Frequently Asked Questions on HCF of 1506, 9032 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 1506, 9032?
Answer: HCF of 1506, 9032 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1506, 9032 using Euclid's Algorithm?
Answer: For arbitrary numbers 1506, 9032 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.