Highest Common Factor of 6570, 924 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 6570, 924 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 6570, 924 is 6 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 6570, 924 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 6570, 924 is 6.
HCF(6570, 924) = 6
HCF of 6570, 924 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6570, 924 is 6.
Highest Common Factor of 6570,924 is 6
Step 1: Since 6570 > 924, we apply the division lemma to 6570 and 924, to get
6570 = 924 x 7 + 102
Step 2: Since the reminder 924 ≠ 0, we apply division lemma to 102 and 924, to get
924 = 102 x 9 + 6
Step 3: We consider the new divisor 102 and the new remainder 6, and apply the division lemma to get
102 = 6 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6570 and 924 is 6
Notice that 6 = HCF(102,6) = HCF(924,102) = HCF(6570,924) .
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Frequently Asked Questions on HCF of 6570, 924 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 6570, 924?
Answer: HCF of 6570, 924 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6570, 924 using Euclid's Algorithm?
Answer: For arbitrary numbers 6570, 924 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.