Highest Common Factor of 596, 946, 94 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 596, 946, 94 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 596, 946, 94 is 2 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 596, 946, 94 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 596, 946, 94 is 2.
HCF(596, 946, 94) = 2
HCF of 596, 946, 94 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 596, 946, 94 is 2.
Highest Common Factor of 596,946,94 is 2
Step 1: Since 946 > 596, we apply the division lemma to 946 and 596, to get
946 = 596 x 1 + 350
Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 350 and 596, to get
596 = 350 x 1 + 246
Step 3: We consider the new divisor 350 and the new remainder 246, and apply the division lemma to get
350 = 246 x 1 + 104
We consider the new divisor 246 and the new remainder 104,and apply the division lemma to get
246 = 104 x 2 + 38
We consider the new divisor 104 and the new remainder 38,and apply the division lemma to get
104 = 38 x 2 + 28
We consider the new divisor 38 and the new remainder 28,and apply the division lemma to get
38 = 28 x 1 + 10
We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get
28 = 10 x 2 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 596 and 946 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(38,28) = HCF(104,38) = HCF(246,104) = HCF(350,246) = HCF(596,350) = HCF(946,596) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 94 > 2, we apply the division lemma to 94 and 2, to get
94 = 2 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 94 is 2
Notice that 2 = HCF(94,2) .
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Frequently Asked Questions on HCF of 596, 946, 94 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 596, 946, 94?
Answer: HCF of 596, 946, 94 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 596, 946, 94 using Euclid's Algorithm?
Answer: For arbitrary numbers 596, 946, 94 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.