Highest Common Factor of 875, 495, 888 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 875, 495, 888 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 875, 495, 888 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 875, 495, 888 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 875, 495, 888 is 1.
HCF(875, 495, 888) = 1
HCF of 875, 495, 888 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 875, 495, 888 is 1.
Highest Common Factor of 875,495,888 is 1
Step 1: Since 875 > 495, we apply the division lemma to 875 and 495, to get
875 = 495 x 1 + 380
Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 380 and 495, to get
495 = 380 x 1 + 115
Step 3: We consider the new divisor 380 and the new remainder 115, and apply the division lemma to get
380 = 115 x 3 + 35
We consider the new divisor 115 and the new remainder 35,and apply the division lemma to get
115 = 35 x 3 + 10
We consider the new divisor 35 and the new remainder 10,and apply the division lemma to get
35 = 10 x 3 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 875 and 495 is 5
Notice that 5 = HCF(10,5) = HCF(35,10) = HCF(115,35) = HCF(380,115) = HCF(495,380) = HCF(875,495) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 888 > 5, we apply the division lemma to 888 and 5, to get
888 = 5 x 177 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 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 5 and 888 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(888,5) .
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Frequently Asked Questions on HCF of 875, 495, 888 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 875, 495, 888?
Answer: HCF of 875, 495, 888 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 875, 495, 888 using Euclid's Algorithm?
Answer: For arbitrary numbers 875, 495, 888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.