Highest Common Factor of 372, 868, 220, 173 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 372, 868, 220, 173 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 372, 868, 220, 173 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 372, 868, 220, 173 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 372, 868, 220, 173 is 1.
HCF(372, 868, 220, 173) = 1
HCF of 372, 868, 220, 173 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 372, 868, 220, 173 is 1.
Highest Common Factor of 372,868,220,173 is 1
Step 1: Since 868 > 372, we apply the division lemma to 868 and 372, to get
868 = 372 x 2 + 124
Step 2: Since the reminder 372 ≠ 0, we apply division lemma to 124 and 372, to get
372 = 124 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 124, the HCF of 372 and 868 is 124
Notice that 124 = HCF(372,124) = HCF(868,372) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 220 > 124, we apply the division lemma to 220 and 124, to get
220 = 124 x 1 + 96
Step 2: Since the reminder 124 ≠ 0, we apply division lemma to 96 and 124, to get
124 = 96 x 1 + 28
Step 3: We consider the new divisor 96 and the new remainder 28, and apply the division lemma to get
96 = 28 x 3 + 12
We consider the new divisor 28 and the new remainder 12,and apply the division lemma to get
28 = 12 x 2 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 124 and 220 is 4
Notice that 4 = HCF(12,4) = HCF(28,12) = HCF(96,28) = HCF(124,96) = HCF(220,124) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 173 > 4, we apply the division lemma to 173 and 4, to get
173 = 4 x 43 + 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 173 is 1
Notice that 1 = HCF(4,1) = HCF(173,4) .
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Frequently Asked Questions on HCF of 372, 868, 220, 173 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 372, 868, 220, 173?
Answer: HCF of 372, 868, 220, 173 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 372, 868, 220, 173 using Euclid's Algorithm?
Answer: For arbitrary numbers 372, 868, 220, 173 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
