Highest Common Factor of 625, 855, 16 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 625, 855, 16 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 625, 855, 16 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 625, 855, 16 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 625, 855, 16 is 1.
HCF(625, 855, 16) = 1
HCF of 625, 855, 16 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 625, 855, 16 is 1.
Highest Common Factor of 625,855,16 is 1
Step 1: Since 855 > 625, we apply the division lemma to 855 and 625, to get
855 = 625 x 1 + 230
Step 2: Since the reminder 625 ≠ 0, we apply division lemma to 230 and 625, to get
625 = 230 x 2 + 165
Step 3: We consider the new divisor 230 and the new remainder 165, and apply the division lemma to get
230 = 165 x 1 + 65
We consider the new divisor 165 and the new remainder 65,and apply the division lemma to get
165 = 65 x 2 + 35
We consider the new divisor 65 and the new remainder 35,and apply the division lemma to get
65 = 35 x 1 + 30
We consider the new divisor 35 and the new remainder 30,and apply the division lemma to get
35 = 30 x 1 + 5
We consider the new divisor 30 and the new remainder 5,and apply the division lemma to get
30 = 5 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 625 and 855 is 5
Notice that 5 = HCF(30,5) = HCF(35,30) = HCF(65,35) = HCF(165,65) = HCF(230,165) = HCF(625,230) = HCF(855,625) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 16 > 5, we apply the division lemma to 16 and 5, to get
16 = 5 x 3 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, 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 5 and 16 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) .
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Frequently Asked Questions on HCF of 625, 855, 16 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 625, 855, 16?
Answer: HCF of 625, 855, 16 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 625, 855, 16 using Euclid's Algorithm?
Answer: For arbitrary numbers 625, 855, 16 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.