Highest Common Factor of 4198, 958 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 4198, 958 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4198, 958 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 4198, 958 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 4198, 958 is 2.
HCF(4198, 958) = 2
HCF of 4198, 958 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4198, 958 is 2.
Highest Common Factor of 4198,958 is 2
Step 1: Since 4198 > 958, we apply the division lemma to 4198 and 958, to get
4198 = 958 x 4 + 366
Step 2: Since the reminder 958 ≠ 0, we apply division lemma to 366 and 958, to get
958 = 366 x 2 + 226
Step 3: We consider the new divisor 366 and the new remainder 226, and apply the division lemma to get
366 = 226 x 1 + 140
We consider the new divisor 226 and the new remainder 140,and apply the division lemma to get
226 = 140 x 1 + 86
We consider the new divisor 140 and the new remainder 86,and apply the division lemma to get
140 = 86 x 1 + 54
We consider the new divisor 86 and the new remainder 54,and apply the division lemma to get
86 = 54 x 1 + 32
We consider the new divisor 54 and the new remainder 32,and apply the division lemma to get
54 = 32 x 1 + 22
We consider the new divisor 32 and the new remainder 22,and apply the division lemma to get
32 = 22 x 1 + 10
We consider the new divisor 22 and the new remainder 10,and apply the division lemma to get
22 = 10 x 2 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4198 and 958 is 2
Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(32,22) = HCF(54,32) = HCF(86,54) = HCF(140,86) = HCF(226,140) = HCF(366,226) = HCF(958,366) = HCF(4198,958) .
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Frequently Asked Questions on HCF of 4198, 958 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 4198, 958?
Answer: HCF of 4198, 958 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4198, 958 using Euclid's Algorithm?
Answer: For arbitrary numbers 4198, 958 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.