Highest Common Factor of 924, 4242, 6512 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, 4242, 6512 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 924, 4242, 6512 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 924, 4242, 6512 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, 4242, 6512 is 2.
HCF(924, 4242, 6512) = 2
HCF of 924, 4242, 6512 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, 4242, 6512 is 2.
Highest Common Factor of 924,4242,6512 is 2
Step 1: Since 4242 > 924, we apply the division lemma to 4242 and 924, to get
4242 = 924 x 4 + 546
Step 2: Since the reminder 924 ≠ 0, we apply division lemma to 546 and 924, to get
924 = 546 x 1 + 378
Step 3: We consider the new divisor 546 and the new remainder 378, and apply the division lemma to get
546 = 378 x 1 + 168
We consider the new divisor 378 and the new remainder 168,and apply the division lemma to get
378 = 168 x 2 + 42
We consider the new divisor 168 and the new remainder 42,and apply the division lemma to get
168 = 42 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 42, the HCF of 924 and 4242 is 42
Notice that 42 = HCF(168,42) = HCF(378,168) = HCF(546,378) = HCF(924,546) = HCF(4242,924) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6512 > 42, we apply the division lemma to 6512 and 42, to get
6512 = 42 x 155 + 2
Step 2: Since the reminder 42 ≠ 0, we apply division lemma to 2 and 42, to get
42 = 2 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 42 and 6512 is 2
Notice that 2 = HCF(42,2) = HCF(6512,42) .
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Frequently Asked Questions on HCF of 924, 4242, 6512 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, 4242, 6512?
Answer: HCF of 924, 4242, 6512 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 924, 4242, 6512 using Euclid's Algorithm?
Answer: For arbitrary numbers 924, 4242, 6512 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.