Highest Common Factor of 370, 881, 372 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 370, 881, 372 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 370, 881, 372 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 370, 881, 372 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 370, 881, 372 is 1.
HCF(370, 881, 372) = 1
HCF of 370, 881, 372 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 370, 881, 372 is 1.
Highest Common Factor of 370,881,372 is 1
Step 1: Since 881 > 370, we apply the division lemma to 881 and 370, to get
881 = 370 x 2 + 141
Step 2: Since the reminder 370 ≠ 0, we apply division lemma to 141 and 370, to get
370 = 141 x 2 + 88
Step 3: We consider the new divisor 141 and the new remainder 88, and apply the division lemma to get
141 = 88 x 1 + 53
We consider the new divisor 88 and the new remainder 53,and apply the division lemma to get
88 = 53 x 1 + 35
We consider the new divisor 53 and the new remainder 35,and apply the division lemma to get
53 = 35 x 1 + 18
We consider the new divisor 35 and the new remainder 18,and apply the division lemma to get
35 = 18 x 1 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 370 and 881 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(53,35) = HCF(88,53) = HCF(141,88) = HCF(370,141) = HCF(881,370) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 372 > 1, we apply the division lemma to 372 and 1, to get
372 = 1 x 372 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 372 is 1
Notice that 1 = HCF(372,1) .
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Frequently Asked Questions on HCF of 370, 881, 372 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 370, 881, 372?
Answer: HCF of 370, 881, 372 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 370, 881, 372 using Euclid's Algorithm?
Answer: For arbitrary numbers 370, 881, 372 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.