Highest Common Factor of 296, 708, 326, 92 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 296, 708, 326, 92 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 296, 708, 326, 92 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 296, 708, 326, 92 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 296, 708, 326, 92 is 2.
HCF(296, 708, 326, 92) = 2
HCF of 296, 708, 326, 92 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 296, 708, 326, 92 is 2.
Highest Common Factor of 296,708,326,92 is 2
Step 1: Since 708 > 296, we apply the division lemma to 708 and 296, to get
708 = 296 x 2 + 116
Step 2: Since the reminder 296 ≠ 0, we apply division lemma to 116 and 296, to get
296 = 116 x 2 + 64
Step 3: We consider the new divisor 116 and the new remainder 64, and apply the division lemma to get
116 = 64 x 1 + 52
We consider the new divisor 64 and the new remainder 52,and apply the division lemma to get
64 = 52 x 1 + 12
We consider the new divisor 52 and the new remainder 12,and apply the division lemma to get
52 = 12 x 4 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 296 and 708 is 4
Notice that 4 = HCF(12,4) = HCF(52,12) = HCF(64,52) = HCF(116,64) = HCF(296,116) = HCF(708,296) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 326 > 4, we apply the division lemma to 326 and 4, to get
326 = 4 x 81 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 326 is 2
Notice that 2 = HCF(4,2) = HCF(326,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92 > 2, we apply the division lemma to 92 and 2, to get
92 = 2 x 46 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 92 is 2
Notice that 2 = HCF(92,2) .
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Frequently Asked Questions on HCF of 296, 708, 326, 92 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 296, 708, 326, 92?
Answer: HCF of 296, 708, 326, 92 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 296, 708, 326, 92 using Euclid's Algorithm?
Answer: For arbitrary numbers 296, 708, 326, 92 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.