Highest Common Factor of 380, 4028 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, 4028 i.e. 76 the largest integer that leaves a remainder zero for all numbers.
HCF of 380, 4028 is 76 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, 4028 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, 4028 is 76.
HCF(380, 4028) = 76
HCF of 380, 4028 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, 4028 is 76.
Highest Common Factor of 380,4028 is 76
Step 1: Since 4028 > 380, we apply the division lemma to 4028 and 380, to get
4028 = 380 x 10 + 228
Step 2: Since the reminder 380 ≠ 0, we apply division lemma to 228 and 380, to get
380 = 228 x 1 + 152
Step 3: We consider the new divisor 228 and the new remainder 152, and apply the division lemma to get
228 = 152 x 1 + 76
We consider the new divisor 152 and the new remainder 76, and apply the division lemma 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 4028 is 76
Notice that 76 = HCF(152,76) = HCF(228,152) = HCF(380,228) = HCF(4028,380) .
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Frequently Asked Questions on HCF of 380, 4028 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, 4028?
Answer: HCF of 380, 4028 is 76 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 380, 4028 using Euclid's Algorithm?
Answer: For arbitrary numbers 380, 4028 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.