Highest Common Factor of 530, 7685 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 530, 7685 i.e. 265 the largest integer that leaves a remainder zero for all numbers.
HCF of 530, 7685 is 265 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 530, 7685 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 530, 7685 is 265.
HCF(530, 7685) = 265
HCF of 530, 7685 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 530, 7685 is 265.
Highest Common Factor of 530,7685 is 265
Step 1: Since 7685 > 530, we apply the division lemma to 7685 and 530, to get
7685 = 530 x 14 + 265
Step 2: Since the reminder 530 ≠ 0, we apply division lemma to 265 and 530, to get
530 = 265 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 265, the HCF of 530 and 7685 is 265
Notice that 265 = HCF(530,265) = HCF(7685,530) .
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Frequently Asked Questions on HCF of 530, 7685 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 530, 7685?
Answer: HCF of 530, 7685 is 265 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 530, 7685 using Euclid's Algorithm?
Answer: For arbitrary numbers 530, 7685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.