Highest Common Factor of 479, 4746, 5354 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 479, 4746, 5354 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 479, 4746, 5354 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 479, 4746, 5354 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 479, 4746, 5354 is 1.
HCF(479, 4746, 5354) = 1
HCF of 479, 4746, 5354 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 479, 4746, 5354 is 1.
Highest Common Factor of 479,4746,5354 is 1
Step 1: Since 4746 > 479, we apply the division lemma to 4746 and 479, to get
4746 = 479 x 9 + 435
Step 2: Since the reminder 479 ≠ 0, we apply division lemma to 435 and 479, to get
479 = 435 x 1 + 44
Step 3: We consider the new divisor 435 and the new remainder 44, and apply the division lemma to get
435 = 44 x 9 + 39
We consider the new divisor 44 and the new remainder 39,and apply the division lemma to get
44 = 39 x 1 + 5
We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get
39 = 5 x 7 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 479 and 4746 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(44,39) = HCF(435,44) = HCF(479,435) = HCF(4746,479) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5354 > 1, we apply the division lemma to 5354 and 1, to get
5354 = 1 x 5354 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5354 is 1
Notice that 1 = HCF(5354,1) .
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Frequently Asked Questions on HCF of 479, 4746, 5354 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 479, 4746, 5354?
Answer: HCF of 479, 4746, 5354 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 479, 4746, 5354 using Euclid's Algorithm?
Answer: For arbitrary numbers 479, 4746, 5354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.