Highest Common Factor of 845, 2945, 4807 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, 2945, 4807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 845, 2945, 4807 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, 2945, 4807 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, 2945, 4807 is 1.
HCF(845, 2945, 4807) = 1
HCF of 845, 2945, 4807 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, 2945, 4807 is 1.
Highest Common Factor of 845,2945,4807 is 1
Step 1: Since 2945 > 845, we apply the division lemma to 2945 and 845, to get
2945 = 845 x 3 + 410
Step 2: Since the reminder 845 ≠ 0, we apply division lemma to 410 and 845, to get
845 = 410 x 2 + 25
Step 3: We consider the new divisor 410 and the new remainder 25, and apply the division lemma to get
410 = 25 x 16 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 845 and 2945 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(410,25) = HCF(845,410) = HCF(2945,845) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4807 > 5, we apply the division lemma to 4807 and 5, to get
4807 = 5 x 961 + 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 4807 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(4807,5) .
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Frequently Asked Questions on HCF of 845, 2945, 4807 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, 2945, 4807?
Answer: HCF of 845, 2945, 4807 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 845, 2945, 4807 using Euclid's Algorithm?
Answer: For arbitrary numbers 845, 2945, 4807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.