Highest Common Factor of 794, 619, 536 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, 619, 536 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 794, 619, 536 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, 619, 536 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, 619, 536 is 1.
HCF(794, 619, 536) = 1
HCF of 794, 619, 536 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, 619, 536 is 1.
Highest Common Factor of 794,619,536 is 1
Step 1: Since 794 > 619, we apply the division lemma to 794 and 619, to get
794 = 619 x 1 + 175
Step 2: Since the reminder 619 ≠ 0, we apply division lemma to 175 and 619, to get
619 = 175 x 3 + 94
Step 3: We consider the new divisor 175 and the new remainder 94, and apply the division lemma to get
175 = 94 x 1 + 81
We consider the new divisor 94 and the new remainder 81,and apply the division lemma to get
94 = 81 x 1 + 13
We consider the new divisor 81 and the new remainder 13,and apply the division lemma to get
81 = 13 x 6 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 794 and 619 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(81,13) = HCF(94,81) = HCF(175,94) = HCF(619,175) = HCF(794,619) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 536 > 1, we apply the division lemma to 536 and 1, to get
536 = 1 x 536 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 536 is 1
Notice that 1 = HCF(536,1) .
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Frequently Asked Questions on HCF of 794, 619, 536 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, 619, 536?
Answer: HCF of 794, 619, 536 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 794, 619, 536 using Euclid's Algorithm?
Answer: For arbitrary numbers 794, 619, 536 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
