Highest Common Factor of 5192, 690 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 5192, 690 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5192, 690 is 2 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 5192, 690 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 5192, 690 is 2.
HCF(5192, 690) = 2
HCF of 5192, 690 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5192, 690 is 2.
Highest Common Factor of 5192,690 is 2
Step 1: Since 5192 > 690, we apply the division lemma to 5192 and 690, to get
5192 = 690 x 7 + 362
Step 2: Since the reminder 690 ≠ 0, we apply division lemma to 362 and 690, to get
690 = 362 x 1 + 328
Step 3: We consider the new divisor 362 and the new remainder 328, and apply the division lemma to get
362 = 328 x 1 + 34
We consider the new divisor 328 and the new remainder 34,and apply the division lemma to get
328 = 34 x 9 + 22
We consider the new divisor 34 and the new remainder 22,and apply the division lemma to get
34 = 22 x 1 + 12
We consider the new divisor 22 and the new remainder 12,and apply the division lemma to get
22 = 12 x 1 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5192 and 690 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(22,12) = HCF(34,22) = HCF(328,34) = HCF(362,328) = HCF(690,362) = HCF(5192,690) .
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Frequently Asked Questions on HCF of 5192, 690 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 5192, 690?
Answer: HCF of 5192, 690 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5192, 690 using Euclid's Algorithm?
Answer: For arbitrary numbers 5192, 690 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.