Highest Common Factor of 726, 892, 236 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 726, 892, 236 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 726, 892, 236 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 726, 892, 236 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 726, 892, 236 is 2.
HCF(726, 892, 236) = 2
HCF of 726, 892, 236 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 726, 892, 236 is 2.
Highest Common Factor of 726,892,236 is 2
Step 1: Since 892 > 726, we apply the division lemma to 892 and 726, to get
892 = 726 x 1 + 166
Step 2: Since the reminder 726 ≠ 0, we apply division lemma to 166 and 726, to get
726 = 166 x 4 + 62
Step 3: We consider the new divisor 166 and the new remainder 62, and apply the division lemma to get
166 = 62 x 2 + 42
We consider the new divisor 62 and the new remainder 42,and apply the division lemma to get
62 = 42 x 1 + 20
We consider the new divisor 42 and the new remainder 20,and apply the division lemma to get
42 = 20 x 2 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 726 and 892 is 2
Notice that 2 = HCF(20,2) = HCF(42,20) = HCF(62,42) = HCF(166,62) = HCF(726,166) = HCF(892,726) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 236 > 2, we apply the division lemma to 236 and 2, to get
236 = 2 x 118 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 236 is 2
Notice that 2 = HCF(236,2) .
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Frequently Asked Questions on HCF of 726, 892, 236 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 726, 892, 236?
Answer: HCF of 726, 892, 236 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 726, 892, 236 using Euclid's Algorithm?
Answer: For arbitrary numbers 726, 892, 236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.