Highest Common Factor of 494, 104, 15 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 494, 104, 15 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 494, 104, 15 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 494, 104, 15 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 494, 104, 15 is 1.
HCF(494, 104, 15) = 1
HCF of 494, 104, 15 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 494, 104, 15 is 1.
Highest Common Factor of 494,104,15 is 1
Step 1: Since 494 > 104, we apply the division lemma to 494 and 104, to get
494 = 104 x 4 + 78
Step 2: Since the reminder 104 ≠ 0, we apply division lemma to 78 and 104, to get
104 = 78 x 1 + 26
Step 3: We consider the new divisor 78 and the new remainder 26, and apply the division lemma to get
78 = 26 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 494 and 104 is 26
Notice that 26 = HCF(78,26) = HCF(104,78) = HCF(494,104) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 26 > 15, we apply the division lemma to 26 and 15, to get
26 = 15 x 1 + 11
Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 11 and 15, to get
15 = 11 x 1 + 4
Step 3: We consider the new divisor 11 and the new remainder 4, and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 26 and 15 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(26,15) .
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Frequently Asked Questions on HCF of 494, 104, 15 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 494, 104, 15?
Answer: HCF of 494, 104, 15 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 494, 104, 15 using Euclid's Algorithm?
Answer: For arbitrary numbers 494, 104, 15 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.