Highest Common Factor of 416, 494, 549, 860 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 416, 494, 549, 860 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 416, 494, 549, 860 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 416, 494, 549, 860 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 416, 494, 549, 860 is 1.
HCF(416, 494, 549, 860) = 1
HCF of 416, 494, 549, 860 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 416, 494, 549, 860 is 1.
Highest Common Factor of 416,494,549,860 is 1
Step 1: Since 494 > 416, we apply the division lemma to 494 and 416, to get
494 = 416 x 1 + 78
Step 2: Since the reminder 416 ≠ 0, we apply division lemma to 78 and 416, to get
416 = 78 x 5 + 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 416 and 494 is 26
Notice that 26 = HCF(78,26) = HCF(416,78) = HCF(494,416) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 549 > 26, we apply the division lemma to 549 and 26, to get
549 = 26 x 21 + 3
Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 3 and 26, to get
26 = 3 x 8 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma 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 26 and 549 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(549,26) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 860 > 1, we apply the division lemma to 860 and 1, to get
860 = 1 x 860 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 860 is 1
Notice that 1 = HCF(860,1) .
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Frequently Asked Questions on HCF of 416, 494, 549, 860 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 416, 494, 549, 860?
Answer: HCF of 416, 494, 549, 860 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 416, 494, 549, 860 using Euclid's Algorithm?
Answer: For arbitrary numbers 416, 494, 549, 860 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.