Highest Common Factor of 1946, 7463, 40448 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 1946, 7463, 40448 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1946, 7463, 40448 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 1946, 7463, 40448 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 1946, 7463, 40448 is 1.
HCF(1946, 7463, 40448) = 1
HCF of 1946, 7463, 40448 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1946, 7463, 40448 is 1.
Highest Common Factor of 1946,7463,40448 is 1
Step 1: Since 7463 > 1946, we apply the division lemma to 7463 and 1946, to get
7463 = 1946 x 3 + 1625
Step 2: Since the reminder 1946 ≠ 0, we apply division lemma to 1625 and 1946, to get
1946 = 1625 x 1 + 321
Step 3: We consider the new divisor 1625 and the new remainder 321, and apply the division lemma to get
1625 = 321 x 5 + 20
We consider the new divisor 321 and the new remainder 20,and apply the division lemma to get
321 = 20 x 16 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1946 and 7463 is 1
Notice that 1 = HCF(20,1) = HCF(321,20) = HCF(1625,321) = HCF(1946,1625) = HCF(7463,1946) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 40448 > 1, we apply the division lemma to 40448 and 1, to get
40448 = 1 x 40448 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 40448 is 1
Notice that 1 = HCF(40448,1) .
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Frequently Asked Questions on HCF of 1946, 7463, 40448 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 1946, 7463, 40448?
Answer: HCF of 1946, 7463, 40448 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1946, 7463, 40448 using Euclid's Algorithm?
Answer: For arbitrary numbers 1946, 7463, 40448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
