Highest Common Factor of 363, 945, 932 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 363, 945, 932 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 363, 945, 932 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 363, 945, 932 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 363, 945, 932 is 1.
HCF(363, 945, 932) = 1
HCF of 363, 945, 932 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 363, 945, 932 is 1.
Highest Common Factor of 363,945,932 is 1
Step 1: Since 945 > 363, we apply the division lemma to 945 and 363, to get
945 = 363 x 2 + 219
Step 2: Since the reminder 363 ≠ 0, we apply division lemma to 219 and 363, to get
363 = 219 x 1 + 144
Step 3: We consider the new divisor 219 and the new remainder 144, and apply the division lemma to get
219 = 144 x 1 + 75
We consider the new divisor 144 and the new remainder 75,and apply the division lemma to get
144 = 75 x 1 + 69
We consider the new divisor 75 and the new remainder 69,and apply the division lemma to get
75 = 69 x 1 + 6
We consider the new divisor 69 and the new remainder 6,and apply the division lemma to get
69 = 6 x 11 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 363 and 945 is 3
Notice that 3 = HCF(6,3) = HCF(69,6) = HCF(75,69) = HCF(144,75) = HCF(219,144) = HCF(363,219) = HCF(945,363) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 932 > 3, we apply the division lemma to 932 and 3, to get
932 = 3 x 310 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 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 3 and 932 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(932,3) .
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Frequently Asked Questions on HCF of 363, 945, 932 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 363, 945, 932?
Answer: HCF of 363, 945, 932 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 363, 945, 932 using Euclid's Algorithm?
Answer: For arbitrary numbers 363, 945, 932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
