Highest Common Factor of 924, 534 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 924, 534 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 924, 534 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 924, 534 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 924, 534 is 6.
HCF(924, 534) = 6
HCF of 924, 534 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 924, 534 is 6.
Highest Common Factor of 924,534 is 6
Step 1: Since 924 > 534, we apply the division lemma to 924 and 534, to get
924 = 534 x 1 + 390
Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 390 and 534, to get
534 = 390 x 1 + 144
Step 3: We consider the new divisor 390 and the new remainder 144, and apply the division lemma to get
390 = 144 x 2 + 102
We consider the new divisor 144 and the new remainder 102,and apply the division lemma to get
144 = 102 x 1 + 42
We consider the new divisor 102 and the new remainder 42,and apply the division lemma to get
102 = 42 x 2 + 18
We consider the new divisor 42 and the new remainder 18,and apply the division lemma to get
42 = 18 x 2 + 6
We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get
18 = 6 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 924 and 534 is 6
Notice that 6 = HCF(18,6) = HCF(42,18) = HCF(102,42) = HCF(144,102) = HCF(390,144) = HCF(534,390) = HCF(924,534) .
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Frequently Asked Questions on HCF of 924, 534 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 924, 534?
Answer: HCF of 924, 534 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 924, 534 using Euclid's Algorithm?
Answer: For arbitrary numbers 924, 534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.