Highest Common Factor of 658, 7018, 8199 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 658, 7018, 8199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 658, 7018, 8199 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 658, 7018, 8199 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 658, 7018, 8199 is 1.
HCF(658, 7018, 8199) = 1
HCF of 658, 7018, 8199 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 658, 7018, 8199 is 1.
Highest Common Factor of 658,7018,8199 is 1
Step 1: Since 7018 > 658, we apply the division lemma to 7018 and 658, to get
7018 = 658 x 10 + 438
Step 2: Since the reminder 658 ≠ 0, we apply division lemma to 438 and 658, to get
658 = 438 x 1 + 220
Step 3: We consider the new divisor 438 and the new remainder 220, and apply the division lemma to get
438 = 220 x 1 + 218
We consider the new divisor 220 and the new remainder 218,and apply the division lemma to get
220 = 218 x 1 + 2
We consider the new divisor 218 and the new remainder 2,and apply the division lemma to get
218 = 2 x 109 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 658 and 7018 is 2
Notice that 2 = HCF(218,2) = HCF(220,218) = HCF(438,220) = HCF(658,438) = HCF(7018,658) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8199 > 2, we apply the division lemma to 8199 and 2, to get
8199 = 2 x 4099 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 8199 is 1
Notice that 1 = HCF(2,1) = HCF(8199,2) .
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Frequently Asked Questions on HCF of 658, 7018, 8199 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 658, 7018, 8199?
Answer: HCF of 658, 7018, 8199 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 658, 7018, 8199 using Euclid's Algorithm?
Answer: For arbitrary numbers 658, 7018, 8199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.