Highest Common Factor of 90, 418, 860 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 90, 418, 860 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 90, 418, 860 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 90, 418, 860 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 90, 418, 860 is 2.
HCF(90, 418, 860) = 2
HCF of 90, 418, 860 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 90, 418, 860 is 2.
Highest Common Factor of 90,418,860 is 2
Step 1: Since 418 > 90, we apply the division lemma to 418 and 90, to get
418 = 90 x 4 + 58
Step 2: Since the reminder 90 ≠ 0, we apply division lemma to 58 and 90, to get
90 = 58 x 1 + 32
Step 3: We consider the new divisor 58 and the new remainder 32, and apply the division lemma to get
58 = 32 x 1 + 26
We consider the new divisor 32 and the new remainder 26,and apply the division lemma to get
32 = 26 x 1 + 6
We consider the new divisor 26 and the new remainder 6,and apply the division lemma to get
26 = 6 x 4 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 90 and 418 is 2
Notice that 2 = HCF(6,2) = HCF(26,6) = HCF(32,26) = HCF(58,32) = HCF(90,58) = HCF(418,90) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 860 > 2, we apply the division lemma to 860 and 2, to get
860 = 2 x 430 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 860 is 2
Notice that 2 = HCF(860,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 90, 418, 860 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 90, 418, 860?
Answer: HCF of 90, 418, 860 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 90, 418, 860 using Euclid's Algorithm?
Answer: For arbitrary numbers 90, 418, 860 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.