Highest Common Factor of 950, 380, 430 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 950, 380, 430 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 950, 380, 430 is 10 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 950, 380, 430 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 950, 380, 430 is 10.
HCF(950, 380, 430) = 10
HCF of 950, 380, 430 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 950, 380, 430 is 10.
Highest Common Factor of 950,380,430 is 10
Step 1: Since 950 > 380, we apply the division lemma to 950 and 380, to get
950 = 380 x 2 + 190
Step 2: Since the reminder 380 ≠ 0, we apply division lemma to 190 and 380, to get
380 = 190 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 190, the HCF of 950 and 380 is 190
Notice that 190 = HCF(380,190) = HCF(950,380) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 430 > 190, we apply the division lemma to 430 and 190, to get
430 = 190 x 2 + 50
Step 2: Since the reminder 190 ≠ 0, we apply division lemma to 50 and 190, to get
190 = 50 x 3 + 40
Step 3: We consider the new divisor 50 and the new remainder 40, and apply the division lemma to get
50 = 40 x 1 + 10
We consider the new divisor 40 and the new remainder 10, and apply the division lemma to get
40 = 10 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 190 and 430 is 10
Notice that 10 = HCF(40,10) = HCF(50,40) = HCF(190,50) = HCF(430,190) .
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Frequently Asked Questions on HCF of 950, 380, 430 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 950, 380, 430?
Answer: HCF of 950, 380, 430 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 950, 380, 430 using Euclid's Algorithm?
Answer: For arbitrary numbers 950, 380, 430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.