Highest Common Factor of 4198, 6912 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, 6912 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4198, 6912 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, 6912 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, 6912 is 2.
HCF(4198, 6912) = 2
HCF of 4198, 6912 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, 6912 is 2.
Highest Common Factor of 4198,6912 is 2
Step 1: Since 6912 > 4198, we apply the division lemma to 6912 and 4198, to get
6912 = 4198 x 1 + 2714
Step 2: Since the reminder 4198 ≠ 0, we apply division lemma to 2714 and 4198, to get
4198 = 2714 x 1 + 1484
Step 3: We consider the new divisor 2714 and the new remainder 1484, and apply the division lemma to get
2714 = 1484 x 1 + 1230
We consider the new divisor 1484 and the new remainder 1230,and apply the division lemma to get
1484 = 1230 x 1 + 254
We consider the new divisor 1230 and the new remainder 254,and apply the division lemma to get
1230 = 254 x 4 + 214
We consider the new divisor 254 and the new remainder 214,and apply the division lemma to get
254 = 214 x 1 + 40
We consider the new divisor 214 and the new remainder 40,and apply the division lemma to get
214 = 40 x 5 + 14
We consider the new divisor 40 and the new remainder 14,and apply the division lemma to get
40 = 14 x 2 + 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 4198 and 6912 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(40,14) = HCF(214,40) = HCF(254,214) = HCF(1230,254) = HCF(1484,1230) = HCF(2714,1484) = HCF(4198,2714) = HCF(6912,4198) .
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Frequently Asked Questions on HCF of 4198, 6912 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, 6912?
Answer: HCF of 4198, 6912 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4198, 6912 using Euclid's Algorithm?
Answer: For arbitrary numbers 4198, 6912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.