Highest Common Factor of 380, 152, 360 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 380, 152, 360 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 380, 152, 360 is 4 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 380, 152, 360 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 380, 152, 360 is 4.
HCF(380, 152, 360) = 4
HCF of 380, 152, 360 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 380, 152, 360 is 4.
Highest Common Factor of 380,152,360 is 4
Step 1: Since 380 > 152, we apply the division lemma to 380 and 152, to get
380 = 152 x 2 + 76
Step 2: Since the reminder 152 ≠ 0, we apply division lemma to 76 and 152, to get
152 = 76 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 76, the HCF of 380 and 152 is 76
Notice that 76 = HCF(152,76) = HCF(380,152) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 360 > 76, we apply the division lemma to 360 and 76, to get
360 = 76 x 4 + 56
Step 2: Since the reminder 76 ≠ 0, we apply division lemma to 56 and 76, to get
76 = 56 x 1 + 20
Step 3: We consider the new divisor 56 and the new remainder 20, and apply the division lemma to get
56 = 20 x 2 + 16
We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 76 and 360 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(56,20) = HCF(76,56) = HCF(360,76) .
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Frequently Asked Questions on HCF of 380, 152, 360 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 380, 152, 360?
Answer: HCF of 380, 152, 360 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 380, 152, 360 using Euclid's Algorithm?
Answer: For arbitrary numbers 380, 152, 360 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.