Highest Common Factor of 2674, 4198 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 2674, 4198 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2674, 4198 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 2674, 4198 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 2674, 4198 is 2.
HCF(2674, 4198) = 2
HCF of 2674, 4198 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2674, 4198 is 2.
Highest Common Factor of 2674,4198 is 2
Step 1: Since 4198 > 2674, we apply the division lemma to 4198 and 2674, to get
4198 = 2674 x 1 + 1524
Step 2: Since the reminder 2674 ≠ 0, we apply division lemma to 1524 and 2674, to get
2674 = 1524 x 1 + 1150
Step 3: We consider the new divisor 1524 and the new remainder 1150, and apply the division lemma to get
1524 = 1150 x 1 + 374
We consider the new divisor 1150 and the new remainder 374,and apply the division lemma to get
1150 = 374 x 3 + 28
We consider the new divisor 374 and the new remainder 28,and apply the division lemma to get
374 = 28 x 13 + 10
We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get
28 = 10 x 2 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2674 and 4198 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(374,28) = HCF(1150,374) = HCF(1524,1150) = HCF(2674,1524) = HCF(4198,2674) .
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Frequently Asked Questions on HCF of 2674, 4198 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 2674, 4198?
Answer: HCF of 2674, 4198 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2674, 4198 using Euclid's Algorithm?
Answer: For arbitrary numbers 2674, 4198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.