Highest Common Factor of 9148, 4019, 88100 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 9148, 4019, 88100 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9148, 4019, 88100 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 9148, 4019, 88100 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 9148, 4019, 88100 is 1.
HCF(9148, 4019, 88100) = 1
HCF of 9148, 4019, 88100 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9148, 4019, 88100 is 1.
Highest Common Factor of 9148,4019,88100 is 1
Step 1: Since 9148 > 4019, we apply the division lemma to 9148 and 4019, to get
9148 = 4019 x 2 + 1110
Step 2: Since the reminder 4019 ≠ 0, we apply division lemma to 1110 and 4019, to get
4019 = 1110 x 3 + 689
Step 3: We consider the new divisor 1110 and the new remainder 689, and apply the division lemma to get
1110 = 689 x 1 + 421
We consider the new divisor 689 and the new remainder 421,and apply the division lemma to get
689 = 421 x 1 + 268
We consider the new divisor 421 and the new remainder 268,and apply the division lemma to get
421 = 268 x 1 + 153
We consider the new divisor 268 and the new remainder 153,and apply the division lemma to get
268 = 153 x 1 + 115
We consider the new divisor 153 and the new remainder 115,and apply the division lemma to get
153 = 115 x 1 + 38
We consider the new divisor 115 and the new remainder 38,and apply the division lemma to get
115 = 38 x 3 + 1
We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9148 and 4019 is 1
Notice that 1 = HCF(38,1) = HCF(115,38) = HCF(153,115) = HCF(268,153) = HCF(421,268) = HCF(689,421) = HCF(1110,689) = HCF(4019,1110) = HCF(9148,4019) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88100 > 1, we apply the division lemma to 88100 and 1, to get
88100 = 1 x 88100 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 88100 is 1
Notice that 1 = HCF(88100,1) .
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Frequently Asked Questions on HCF of 9148, 4019, 88100 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 9148, 4019, 88100?
Answer: HCF of 9148, 4019, 88100 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9148, 4019, 88100 using Euclid's Algorithm?
Answer: For arbitrary numbers 9148, 4019, 88100 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
