Highest Common Factor of 946, 4105, 6964 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 946, 4105, 6964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 946, 4105, 6964 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 946, 4105, 6964 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 946, 4105, 6964 is 1.
HCF(946, 4105, 6964) = 1
HCF of 946, 4105, 6964 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 946, 4105, 6964 is 1.
Highest Common Factor of 946,4105,6964 is 1
Step 1: Since 4105 > 946, we apply the division lemma to 4105 and 946, to get
4105 = 946 x 4 + 321
Step 2: Since the reminder 946 ≠ 0, we apply division lemma to 321 and 946, to get
946 = 321 x 2 + 304
Step 3: We consider the new divisor 321 and the new remainder 304, and apply the division lemma to get
321 = 304 x 1 + 17
We consider the new divisor 304 and the new remainder 17,and apply the division lemma to get
304 = 17 x 17 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
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 946 and 4105 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(304,17) = HCF(321,304) = HCF(946,321) = HCF(4105,946) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6964 > 1, we apply the division lemma to 6964 and 1, to get
6964 = 1 x 6964 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6964 is 1
Notice that 1 = HCF(6964,1) .
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Frequently Asked Questions on HCF of 946, 4105, 6964 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 946, 4105, 6964?
Answer: HCF of 946, 4105, 6964 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 946, 4105, 6964 using Euclid's Algorithm?
Answer: For arbitrary numbers 946, 4105, 6964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.