Highest Common Factor of 243, 4912, 5312 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 243, 4912, 5312 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 243, 4912, 5312 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 243, 4912, 5312 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 243, 4912, 5312 is 1.
HCF(243, 4912, 5312) = 1
HCF of 243, 4912, 5312 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 243, 4912, 5312 is 1.
Highest Common Factor of 243,4912,5312 is 1
Step 1: Since 4912 > 243, we apply the division lemma to 4912 and 243, to get
4912 = 243 x 20 + 52
Step 2: Since the reminder 243 ≠ 0, we apply division lemma to 52 and 243, to get
243 = 52 x 4 + 35
Step 3: We consider the new divisor 52 and the new remainder 35, and apply the division lemma to get
52 = 35 x 1 + 17
We consider the new divisor 35 and the new remainder 17,and apply the division lemma to get
35 = 17 x 2 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 243 and 4912 is 1
Notice that 1 = HCF(17,1) = HCF(35,17) = HCF(52,35) = HCF(243,52) = HCF(4912,243) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5312 > 1, we apply the division lemma to 5312 and 1, to get
5312 = 1 x 5312 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5312 is 1
Notice that 1 = HCF(5312,1) .
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Frequently Asked Questions on HCF of 243, 4912, 5312 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 243, 4912, 5312?
Answer: HCF of 243, 4912, 5312 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 243, 4912, 5312 using Euclid's Algorithm?
Answer: For arbitrary numbers 243, 4912, 5312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.