Highest Common Factor of 4276, 9190 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 4276, 9190 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4276, 9190 is 2 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 4276, 9190 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 4276, 9190 is 2.
HCF(4276, 9190) = 2
HCF of 4276, 9190 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4276, 9190 is 2.
Highest Common Factor of 4276,9190 is 2
Step 1: Since 9190 > 4276, we apply the division lemma to 9190 and 4276, to get
9190 = 4276 x 2 + 638
Step 2: Since the reminder 4276 ≠ 0, we apply division lemma to 638 and 4276, to get
4276 = 638 x 6 + 448
Step 3: We consider the new divisor 638 and the new remainder 448, and apply the division lemma to get
638 = 448 x 1 + 190
We consider the new divisor 448 and the new remainder 190,and apply the division lemma to get
448 = 190 x 2 + 68
We consider the new divisor 190 and the new remainder 68,and apply the division lemma to get
190 = 68 x 2 + 54
We consider the new divisor 68 and the new remainder 54,and apply the division lemma to get
68 = 54 x 1 + 14
We consider the new divisor 54 and the new remainder 14,and apply the division lemma to get
54 = 14 x 3 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4276 and 9190 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(54,14) = HCF(68,54) = HCF(190,68) = HCF(448,190) = HCF(638,448) = HCF(4276,638) = HCF(9190,4276) .
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Frequently Asked Questions on HCF of 4276, 9190 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 4276, 9190?
Answer: HCF of 4276, 9190 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4276, 9190 using Euclid's Algorithm?
Answer: For arbitrary numbers 4276, 9190 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.