Highest Common Factor of 4398, 9203, 42487 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 4398, 9203, 42487 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4398, 9203, 42487 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 4398, 9203, 42487 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 4398, 9203, 42487 is 1.
HCF(4398, 9203, 42487) = 1
HCF of 4398, 9203, 42487 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4398, 9203, 42487 is 1.
Highest Common Factor of 4398,9203,42487 is 1
Step 1: Since 9203 > 4398, we apply the division lemma to 9203 and 4398, to get
9203 = 4398 x 2 + 407
Step 2: Since the reminder 4398 ≠ 0, we apply division lemma to 407 and 4398, to get
4398 = 407 x 10 + 328
Step 3: We consider the new divisor 407 and the new remainder 328, and apply the division lemma to get
407 = 328 x 1 + 79
We consider the new divisor 328 and the new remainder 79,and apply the division lemma to get
328 = 79 x 4 + 12
We consider the new divisor 79 and the new remainder 12,and apply the division lemma to get
79 = 12 x 6 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4398 and 9203 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(79,12) = HCF(328,79) = HCF(407,328) = HCF(4398,407) = HCF(9203,4398) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 42487 > 1, we apply the division lemma to 42487 and 1, to get
42487 = 1 x 42487 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 42487 is 1
Notice that 1 = HCF(42487,1) .
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Frequently Asked Questions on HCF of 4398, 9203, 42487 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 4398, 9203, 42487?
Answer: HCF of 4398, 9203, 42487 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4398, 9203, 42487 using Euclid's Algorithm?
Answer: For arbitrary numbers 4398, 9203, 42487 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
