Highest Common Factor of 798, 5290, 8658 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 798, 5290, 8658 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 798, 5290, 8658 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 798, 5290, 8658 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 798, 5290, 8658 is 2.
HCF(798, 5290, 8658) = 2
HCF of 798, 5290, 8658 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 798, 5290, 8658 is 2.
Highest Common Factor of 798,5290,8658 is 2
Step 1: Since 5290 > 798, we apply the division lemma to 5290 and 798, to get
5290 = 798 x 6 + 502
Step 2: Since the reminder 798 ≠ 0, we apply division lemma to 502 and 798, to get
798 = 502 x 1 + 296
Step 3: We consider the new divisor 502 and the new remainder 296, and apply the division lemma to get
502 = 296 x 1 + 206
We consider the new divisor 296 and the new remainder 206,and apply the division lemma to get
296 = 206 x 1 + 90
We consider the new divisor 206 and the new remainder 90,and apply the division lemma to get
206 = 90 x 2 + 26
We consider the new divisor 90 and the new remainder 26,and apply the division lemma to get
90 = 26 x 3 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 798 and 5290 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(90,26) = HCF(206,90) = HCF(296,206) = HCF(502,296) = HCF(798,502) = HCF(5290,798) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8658 > 2, we apply the division lemma to 8658 and 2, to get
8658 = 2 x 4329 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 8658 is 2
Notice that 2 = HCF(8658,2) .
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Frequently Asked Questions on HCF of 798, 5290, 8658 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 798, 5290, 8658?
Answer: HCF of 798, 5290, 8658 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 798, 5290, 8658 using Euclid's Algorithm?
Answer: For arbitrary numbers 798, 5290, 8658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.