Highest Common Factor of 924, 240, 843, 88 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, 240, 843, 88 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 924, 240, 843, 88 is 1 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, 240, 843, 88 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, 240, 843, 88 is 1.
HCF(924, 240, 843, 88) = 1
HCF of 924, 240, 843, 88 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, 240, 843, 88 is 1.
Highest Common Factor of 924,240,843,88 is 1
Step 1: Since 924 > 240, we apply the division lemma to 924 and 240, to get
924 = 240 x 3 + 204
Step 2: Since the reminder 240 ≠ 0, we apply division lemma to 204 and 240, to get
240 = 204 x 1 + 36
Step 3: We consider the new divisor 204 and the new remainder 36, and apply the division lemma to get
204 = 36 x 5 + 24
We consider the new divisor 36 and the new remainder 24,and apply the division lemma to get
36 = 24 x 1 + 12
We consider the new divisor 24 and the new remainder 12,and apply the division lemma to get
24 = 12 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 924 and 240 is 12
Notice that 12 = HCF(24,12) = HCF(36,24) = HCF(204,36) = HCF(240,204) = HCF(924,240) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 843 > 12, we apply the division lemma to 843 and 12, to get
843 = 12 x 70 + 3
Step 2: Since the reminder 12 ≠ 0, we apply division lemma to 3 and 12, to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 12 and 843 is 3
Notice that 3 = HCF(12,3) = HCF(843,12) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88 > 3, we apply the division lemma to 88 and 3, to get
88 = 3 x 29 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 88 is 1
Notice that 1 = HCF(3,1) = HCF(88,3) .
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Frequently Asked Questions on HCF of 924, 240, 843, 88 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, 240, 843, 88?
Answer: HCF of 924, 240, 843, 88 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 924, 240, 843, 88 using Euclid's Algorithm?
Answer: For arbitrary numbers 924, 240, 843, 88 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
