Highest Common Factor of 5124, 1198 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 5124, 1198 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5124, 1198 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 5124, 1198 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 5124, 1198 is 2.
HCF(5124, 1198) = 2
HCF of 5124, 1198 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5124, 1198 is 2.
Highest Common Factor of 5124,1198 is 2
Step 1: Since 5124 > 1198, we apply the division lemma to 5124 and 1198, to get
5124 = 1198 x 4 + 332
Step 2: Since the reminder 1198 ≠ 0, we apply division lemma to 332 and 1198, to get
1198 = 332 x 3 + 202
Step 3: We consider the new divisor 332 and the new remainder 202, and apply the division lemma to get
332 = 202 x 1 + 130
We consider the new divisor 202 and the new remainder 130,and apply the division lemma to get
202 = 130 x 1 + 72
We consider the new divisor 130 and the new remainder 72,and apply the division lemma to get
130 = 72 x 1 + 58
We consider the new divisor 72 and the new remainder 58,and apply the division lemma to get
72 = 58 x 1 + 14
We consider the new divisor 58 and the new remainder 14,and apply the division lemma to get
58 = 14 x 4 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5124 and 1198 is 2
Notice that 2 = HCF(14,2) = HCF(58,14) = HCF(72,58) = HCF(130,72) = HCF(202,130) = HCF(332,202) = HCF(1198,332) = HCF(5124,1198) .
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Frequently Asked Questions on HCF of 5124, 1198 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 5124, 1198?
Answer: HCF of 5124, 1198 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5124, 1198 using Euclid's Algorithm?
Answer: For arbitrary numbers 5124, 1198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.