Highest Common Factor of 1258, 5298, 93300 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 1258, 5298, 93300 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1258, 5298, 93300 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 1258, 5298, 93300 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 1258, 5298, 93300 is 2.
HCF(1258, 5298, 93300) = 2
HCF of 1258, 5298, 93300 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1258, 5298, 93300 is 2.
Highest Common Factor of 1258,5298,93300 is 2
Step 1: Since 5298 > 1258, we apply the division lemma to 5298 and 1258, to get
5298 = 1258 x 4 + 266
Step 2: Since the reminder 1258 ≠ 0, we apply division lemma to 266 and 1258, to get
1258 = 266 x 4 + 194
Step 3: We consider the new divisor 266 and the new remainder 194, and apply the division lemma to get
266 = 194 x 1 + 72
We consider the new divisor 194 and the new remainder 72,and apply the division lemma to get
194 = 72 x 2 + 50
We consider the new divisor 72 and the new remainder 50,and apply the division lemma to get
72 = 50 x 1 + 22
We consider the new divisor 50 and the new remainder 22,and apply the division lemma to get
50 = 22 x 2 + 6
We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get
22 = 6 x 3 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1258 and 5298 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(50,22) = HCF(72,50) = HCF(194,72) = HCF(266,194) = HCF(1258,266) = HCF(5298,1258) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93300 > 2, we apply the division lemma to 93300 and 2, to get
93300 = 2 x 46650 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 93300 is 2
Notice that 2 = HCF(93300,2) .
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Frequently Asked Questions on HCF of 1258, 5298, 93300 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 1258, 5298, 93300?
Answer: HCF of 1258, 5298, 93300 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1258, 5298, 93300 using Euclid's Algorithm?
Answer: For arbitrary numbers 1258, 5298, 93300 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
