Highest Common Factor of 794, 631, 40, 785 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 794, 631, 40, 785 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 794, 631, 40, 785 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 794, 631, 40, 785 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 794, 631, 40, 785 is 1.
HCF(794, 631, 40, 785) = 1
HCF of 794, 631, 40, 785 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 794, 631, 40, 785 is 1.
Highest Common Factor of 794,631,40,785 is 1
Step 1: Since 794 > 631, we apply the division lemma to 794 and 631, to get
794 = 631 x 1 + 163
Step 2: Since the reminder 631 ≠ 0, we apply division lemma to 163 and 631, to get
631 = 163 x 3 + 142
Step 3: We consider the new divisor 163 and the new remainder 142, and apply the division lemma to get
163 = 142 x 1 + 21
We consider the new divisor 142 and the new remainder 21,and apply the division lemma to get
142 = 21 x 6 + 16
We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get
21 = 16 x 1 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 794 and 631 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(142,21) = HCF(163,142) = HCF(631,163) = HCF(794,631) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 40 > 1, we apply the division lemma to 40 and 1, to get
40 = 1 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 40 is 1
Notice that 1 = HCF(40,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 785 > 1, we apply the division lemma to 785 and 1, to get
785 = 1 x 785 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 785 is 1
Notice that 1 = HCF(785,1) .
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Frequently Asked Questions on HCF of 794, 631, 40, 785 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 794, 631, 40, 785?
Answer: HCF of 794, 631, 40, 785 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 794, 631, 40, 785 using Euclid's Algorithm?
Answer: For arbitrary numbers 794, 631, 40, 785 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.