Highest Common Factor of 463, 893, 107, 24 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 463, 893, 107, 24 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 463, 893, 107, 24 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 463, 893, 107, 24 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 463, 893, 107, 24 is 1.
HCF(463, 893, 107, 24) = 1
HCF of 463, 893, 107, 24 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 463, 893, 107, 24 is 1.
Highest Common Factor of 463,893,107,24 is 1
Step 1: Since 893 > 463, we apply the division lemma to 893 and 463, to get
893 = 463 x 1 + 430
Step 2: Since the reminder 463 ≠ 0, we apply division lemma to 430 and 463, to get
463 = 430 x 1 + 33
Step 3: We consider the new divisor 430 and the new remainder 33, and apply the division lemma to get
430 = 33 x 13 + 1
We consider the new divisor 33 and the new remainder 1, and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 463 and 893 is 1
Notice that 1 = HCF(33,1) = HCF(430,33) = HCF(463,430) = HCF(893,463) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 107 > 1, we apply the division lemma to 107 and 1, to get
107 = 1 x 107 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 107 is 1
Notice that 1 = HCF(107,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 24 > 1, we apply the division lemma to 24 and 1, to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24 is 1
Notice that 1 = HCF(24,1) .
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Frequently Asked Questions on HCF of 463, 893, 107, 24 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 463, 893, 107, 24?
Answer: HCF of 463, 893, 107, 24 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 463, 893, 107, 24 using Euclid's Algorithm?
Answer: For arbitrary numbers 463, 893, 107, 24 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.