Highest Common Factor of 688, 188, 233, 95 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 688, 188, 233, 95 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 688, 188, 233, 95 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 688, 188, 233, 95 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 688, 188, 233, 95 is 1.
HCF(688, 188, 233, 95) = 1
HCF of 688, 188, 233, 95 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 688, 188, 233, 95 is 1.
Highest Common Factor of 688,188,233,95 is 1
Step 1: Since 688 > 188, we apply the division lemma to 688 and 188, to get
688 = 188 x 3 + 124
Step 2: Since the reminder 188 ≠ 0, we apply division lemma to 124 and 188, to get
188 = 124 x 1 + 64
Step 3: We consider the new divisor 124 and the new remainder 64, and apply the division lemma to get
124 = 64 x 1 + 60
We consider the new divisor 64 and the new remainder 60,and apply the division lemma to get
64 = 60 x 1 + 4
We consider the new divisor 60 and the new remainder 4,and apply the division lemma to get
60 = 4 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 688 and 188 is 4
Notice that 4 = HCF(60,4) = HCF(64,60) = HCF(124,64) = HCF(188,124) = HCF(688,188) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 233 > 4, we apply the division lemma to 233 and 4, to get
233 = 4 x 58 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 233 is 1
Notice that 1 = HCF(4,1) = HCF(233,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 95 > 1, we apply the division lemma to 95 and 1, to get
95 = 1 x 95 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95 is 1
Notice that 1 = HCF(95,1) .
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Frequently Asked Questions on HCF of 688, 188, 233, 95 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 688, 188, 233, 95?
Answer: HCF of 688, 188, 233, 95 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 688, 188, 233, 95 using Euclid's Algorithm?
Answer: For arbitrary numbers 688, 188, 233, 95 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.