Highest Common Factor of 926, 786, 705 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 926, 786, 705 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 926, 786, 705 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 926, 786, 705 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 926, 786, 705 is 1.
HCF(926, 786, 705) = 1
HCF of 926, 786, 705 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 926, 786, 705 is 1.
Highest Common Factor of 926,786,705 is 1
Step 1: Since 926 > 786, we apply the division lemma to 926 and 786, to get
926 = 786 x 1 + 140
Step 2: Since the reminder 786 ≠ 0, we apply division lemma to 140 and 786, to get
786 = 140 x 5 + 86
Step 3: We consider the new divisor 140 and the new remainder 86, and apply the division lemma to get
140 = 86 x 1 + 54
We consider the new divisor 86 and the new remainder 54,and apply the division lemma to get
86 = 54 x 1 + 32
We consider the new divisor 54 and the new remainder 32,and apply the division lemma to get
54 = 32 x 1 + 22
We consider the new divisor 32 and the new remainder 22,and apply the division lemma to get
32 = 22 x 1 + 10
We consider the new divisor 22 and the new remainder 10,and apply the division lemma to get
22 = 10 x 2 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 926 and 786 is 2
Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(32,22) = HCF(54,32) = HCF(86,54) = HCF(140,86) = HCF(786,140) = HCF(926,786) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 705 > 2, we apply the division lemma to 705 and 2, to get
705 = 2 x 352 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 705 is 1
Notice that 1 = HCF(2,1) = HCF(705,2) .
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Frequently Asked Questions on HCF of 926, 786, 705 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 926, 786, 705?
Answer: HCF of 926, 786, 705 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 926, 786, 705 using Euclid's Algorithm?
Answer: For arbitrary numbers 926, 786, 705 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.