Highest Common Factor of 486, 862, 846, 60 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 486, 862, 846, 60 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 486, 862, 846, 60 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 486, 862, 846, 60 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 486, 862, 846, 60 is 2.
HCF(486, 862, 846, 60) = 2
HCF of 486, 862, 846, 60 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 486, 862, 846, 60 is 2.
Highest Common Factor of 486,862,846,60 is 2
Step 1: Since 862 > 486, we apply the division lemma to 862 and 486, to get
862 = 486 x 1 + 376
Step 2: Since the reminder 486 ≠ 0, we apply division lemma to 376 and 486, to get
486 = 376 x 1 + 110
Step 3: We consider the new divisor 376 and the new remainder 110, and apply the division lemma to get
376 = 110 x 3 + 46
We consider the new divisor 110 and the new remainder 46,and apply the division lemma to get
110 = 46 x 2 + 18
We consider the new divisor 46 and the new remainder 18,and apply the division lemma to get
46 = 18 x 2 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 486 and 862 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(46,18) = HCF(110,46) = HCF(376,110) = HCF(486,376) = HCF(862,486) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 846 > 2, we apply the division lemma to 846 and 2, to get
846 = 2 x 423 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 846 is 2
Notice that 2 = HCF(846,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60 > 2, we apply the division lemma to 60 and 2, to get
60 = 2 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 60 is 2
Notice that 2 = HCF(60,2) .
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Frequently Asked Questions on HCF of 486, 862, 846, 60 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 486, 862, 846, 60?
Answer: HCF of 486, 862, 846, 60 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 486, 862, 846, 60 using Euclid's Algorithm?
Answer: For arbitrary numbers 486, 862, 846, 60 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.