Highest Common Factor of 196, 662, 875, 117 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 196, 662, 875, 117 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 196, 662, 875, 117 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 196, 662, 875, 117 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 196, 662, 875, 117 is 1.
HCF(196, 662, 875, 117) = 1
HCF of 196, 662, 875, 117 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 196, 662, 875, 117 is 1.
Highest Common Factor of 196,662,875,117 is 1
Step 1: Since 662 > 196, we apply the division lemma to 662 and 196, to get
662 = 196 x 3 + 74
Step 2: Since the reminder 196 ≠ 0, we apply division lemma to 74 and 196, to get
196 = 74 x 2 + 48
Step 3: We consider the new divisor 74 and the new remainder 48, and apply the division lemma to get
74 = 48 x 1 + 26
We consider the new divisor 48 and the new remainder 26,and apply the division lemma to get
48 = 26 x 1 + 22
We consider the new divisor 26 and the new remainder 22,and apply the division lemma to get
26 = 22 x 1 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 196 and 662 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(26,22) = HCF(48,26) = HCF(74,48) = HCF(196,74) = HCF(662,196) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 875 > 2, we apply the division lemma to 875 and 2, to get
875 = 2 x 437 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 875 is 1
Notice that 1 = HCF(2,1) = HCF(875,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 117 > 1, we apply the division lemma to 117 and 1, to get
117 = 1 x 117 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 117 is 1
Notice that 1 = HCF(117,1) .
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Frequently Asked Questions on HCF of 196, 662, 875, 117 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 196, 662, 875, 117?
Answer: HCF of 196, 662, 875, 117 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 196, 662, 875, 117 using Euclid's Algorithm?
Answer: For arbitrary numbers 196, 662, 875, 117 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.