Highest Common Factor of 1530, 711 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 1530, 711 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 1530, 711 is 9 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 1530, 711 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 1530, 711 is 9.
HCF(1530, 711) = 9
HCF of 1530, 711 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1530, 711 is 9.
Highest Common Factor of 1530,711 is 9
Step 1: Since 1530 > 711, we apply the division lemma to 1530 and 711, to get
1530 = 711 x 2 + 108
Step 2: Since the reminder 711 ≠ 0, we apply division lemma to 108 and 711, to get
711 = 108 x 6 + 63
Step 3: We consider the new divisor 108 and the new remainder 63, and apply the division lemma to get
108 = 63 x 1 + 45
We consider the new divisor 63 and the new remainder 45,and apply the division lemma to get
63 = 45 x 1 + 18
We consider the new divisor 45 and the new remainder 18,and apply the division lemma to get
45 = 18 x 2 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 1530 and 711 is 9
Notice that 9 = HCF(18,9) = HCF(45,18) = HCF(63,45) = HCF(108,63) = HCF(711,108) = HCF(1530,711) .
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Frequently Asked Questions on HCF of 1530, 711 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 1530, 711?
Answer: HCF of 1530, 711 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1530, 711 using Euclid's Algorithm?
Answer: For arbitrary numbers 1530, 711 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.