Highest Common Factor of 845, 2475, 5142 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 845, 2475, 5142 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 845, 2475, 5142 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 845, 2475, 5142 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 845, 2475, 5142 is 1.
HCF(845, 2475, 5142) = 1
HCF of 845, 2475, 5142 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 845, 2475, 5142 is 1.
Highest Common Factor of 845,2475,5142 is 1
Step 1: Since 2475 > 845, we apply the division lemma to 2475 and 845, to get
2475 = 845 x 2 + 785
Step 2: Since the reminder 845 ≠ 0, we apply division lemma to 785 and 845, to get
845 = 785 x 1 + 60
Step 3: We consider the new divisor 785 and the new remainder 60, and apply the division lemma to get
785 = 60 x 13 + 5
We consider the new divisor 60 and the new remainder 5, and apply the division lemma to get
60 = 5 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 845 and 2475 is 5
Notice that 5 = HCF(60,5) = HCF(785,60) = HCF(845,785) = HCF(2475,845) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5142 > 5, we apply the division lemma to 5142 and 5, to get
5142 = 5 x 1028 + 2
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get
5 = 2 x 2 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma 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 5 and 5142 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(5142,5) .
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Frequently Asked Questions on HCF of 845, 2475, 5142 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 845, 2475, 5142?
Answer: HCF of 845, 2475, 5142 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 845, 2475, 5142 using Euclid's Algorithm?
Answer: For arbitrary numbers 845, 2475, 5142 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.