Highest Common Factor of 616, 308, 485 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 616, 308, 485 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 616, 308, 485 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 616, 308, 485 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 616, 308, 485 is 1.
HCF(616, 308, 485) = 1
HCF of 616, 308, 485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 616, 308, 485 is 1.
Highest Common Factor of 616,308,485 is 1
Step 1: Since 616 > 308, we apply the division lemma to 616 and 308, to get
616 = 308 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 308, the HCF of 616 and 308 is 308
Notice that 308 = HCF(616,308) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 485 > 308, we apply the division lemma to 485 and 308, to get
485 = 308 x 1 + 177
Step 2: Since the reminder 308 ≠ 0, we apply division lemma to 177 and 308, to get
308 = 177 x 1 + 131
Step 3: We consider the new divisor 177 and the new remainder 131, and apply the division lemma to get
177 = 131 x 1 + 46
We consider the new divisor 131 and the new remainder 46,and apply the division lemma to get
131 = 46 x 2 + 39
We consider the new divisor 46 and the new remainder 39,and apply the division lemma to get
46 = 39 x 1 + 7
We consider the new divisor 39 and the new remainder 7,and apply the division lemma to get
39 = 7 x 5 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 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 308 and 485 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(39,7) = HCF(46,39) = HCF(131,46) = HCF(177,131) = HCF(308,177) = HCF(485,308) .
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Frequently Asked Questions on HCF of 616, 308, 485 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 616, 308, 485?
Answer: HCF of 616, 308, 485 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 616, 308, 485 using Euclid's Algorithm?
Answer: For arbitrary numbers 616, 308, 485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.