Highest Common Factor of 6598, 1785, 53892 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 6598, 1785, 53892 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6598, 1785, 53892 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 6598, 1785, 53892 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 6598, 1785, 53892 is 1.
HCF(6598, 1785, 53892) = 1
HCF of 6598, 1785, 53892 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6598, 1785, 53892 is 1.
Highest Common Factor of 6598,1785,53892 is 1
Step 1: Since 6598 > 1785, we apply the division lemma to 6598 and 1785, to get
6598 = 1785 x 3 + 1243
Step 2: Since the reminder 1785 ≠ 0, we apply division lemma to 1243 and 1785, to get
1785 = 1243 x 1 + 542
Step 3: We consider the new divisor 1243 and the new remainder 542, and apply the division lemma to get
1243 = 542 x 2 + 159
We consider the new divisor 542 and the new remainder 159,and apply the division lemma to get
542 = 159 x 3 + 65
We consider the new divisor 159 and the new remainder 65,and apply the division lemma to get
159 = 65 x 2 + 29
We consider the new divisor 65 and the new remainder 29,and apply the division lemma to get
65 = 29 x 2 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6598 and 1785 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(65,29) = HCF(159,65) = HCF(542,159) = HCF(1243,542) = HCF(1785,1243) = HCF(6598,1785) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 53892 > 1, we apply the division lemma to 53892 and 1, to get
53892 = 1 x 53892 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 53892 is 1
Notice that 1 = HCF(53892,1) .
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Frequently Asked Questions on HCF of 6598, 1785, 53892 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 6598, 1785, 53892?
Answer: HCF of 6598, 1785, 53892 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6598, 1785, 53892 using Euclid's Algorithm?
Answer: For arbitrary numbers 6598, 1785, 53892 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.