Highest Common Factor of 786, 440 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 786, 440 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 786, 440 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 786, 440 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 786, 440 is 2.
HCF(786, 440) = 2
HCF of 786, 440 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 786, 440 is 2.
Highest Common Factor of 786,440 is 2
Step 1: Since 786 > 440, we apply the division lemma to 786 and 440, to get
786 = 440 x 1 + 346
Step 2: Since the reminder 440 ≠ 0, we apply division lemma to 346 and 440, to get
440 = 346 x 1 + 94
Step 3: We consider the new divisor 346 and the new remainder 94, and apply the division lemma to get
346 = 94 x 3 + 64
We consider the new divisor 94 and the new remainder 64,and apply the division lemma to get
94 = 64 x 1 + 30
We consider the new divisor 64 and the new remainder 30,and apply the division lemma to get
64 = 30 x 2 + 4
We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get
30 = 4 x 7 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma 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 786 and 440 is 2
Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(64,30) = HCF(94,64) = HCF(346,94) = HCF(440,346) = HCF(786,440) .
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Frequently Asked Questions on HCF of 786, 440 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 786, 440?
Answer: HCF of 786, 440 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 786, 440 using Euclid's Algorithm?
Answer: For arbitrary numbers 786, 440 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.