Highest Common Factor of 507, 598, 424 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 507, 598, 424 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 507, 598, 424 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 507, 598, 424 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 507, 598, 424 is 1.
HCF(507, 598, 424) = 1
HCF of 507, 598, 424 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 507, 598, 424 is 1.
Highest Common Factor of 507,598,424 is 1
Step 1: Since 598 > 507, we apply the division lemma to 598 and 507, to get
598 = 507 x 1 + 91
Step 2: Since the reminder 507 ≠ 0, we apply division lemma to 91 and 507, to get
507 = 91 x 5 + 52
Step 3: We consider the new divisor 91 and the new remainder 52, and apply the division lemma to get
91 = 52 x 1 + 39
We consider the new divisor 52 and the new remainder 39,and apply the division lemma to get
52 = 39 x 1 + 13
We consider the new divisor 39 and the new remainder 13,and apply the division lemma to get
39 = 13 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 507 and 598 is 13
Notice that 13 = HCF(39,13) = HCF(52,39) = HCF(91,52) = HCF(507,91) = HCF(598,507) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 424 > 13, we apply the division lemma to 424 and 13, to get
424 = 13 x 32 + 8
Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 8 and 13, to get
13 = 8 x 1 + 5
Step 3: We consider the new divisor 8 and the new remainder 5, and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 13 and 424 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(424,13) .
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Frequently Asked Questions on HCF of 507, 598, 424 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 507, 598, 424?
Answer: HCF of 507, 598, 424 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 507, 598, 424 using Euclid's Algorithm?
Answer: For arbitrary numbers 507, 598, 424 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
