Highest Common Factor of 946, 7103, 6945 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, 7103, 6945 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 946, 7103, 6945 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, 7103, 6945 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, 7103, 6945 is 1.
HCF(946, 7103, 6945) = 1
HCF of 946, 7103, 6945 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, 7103, 6945 is 1.
Highest Common Factor of 946,7103,6945 is 1
Step 1: Since 7103 > 946, we apply the division lemma to 7103 and 946, to get
7103 = 946 x 7 + 481
Step 2: Since the reminder 946 ≠ 0, we apply division lemma to 481 and 946, to get
946 = 481 x 1 + 465
Step 3: We consider the new divisor 481 and the new remainder 465, and apply the division lemma to get
481 = 465 x 1 + 16
We consider the new divisor 465 and the new remainder 16,and apply the division lemma to get
465 = 16 x 29 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 946 and 7103 is 1
Notice that 1 = HCF(16,1) = HCF(465,16) = HCF(481,465) = HCF(946,481) = HCF(7103,946) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6945 > 1, we apply the division lemma to 6945 and 1, to get
6945 = 1 x 6945 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6945 is 1
Notice that 1 = HCF(6945,1) .
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Frequently Asked Questions on HCF of 946, 7103, 6945 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, 7103, 6945?
Answer: HCF of 946, 7103, 6945 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 946, 7103, 6945 using Euclid's Algorithm?
Answer: For arbitrary numbers 946, 7103, 6945 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
