Highest Common Factor of 1973, 4298 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 1973, 4298 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1973, 4298 is 1 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 1973, 4298 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 1973, 4298 is 1.
HCF(1973, 4298) = 1
HCF of 1973, 4298 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1973, 4298 is 1.
Highest Common Factor of 1973,4298 is 1
Step 1: Since 4298 > 1973, we apply the division lemma to 4298 and 1973, to get
4298 = 1973 x 2 + 352
Step 2: Since the reminder 1973 ≠ 0, we apply division lemma to 352 and 1973, to get
1973 = 352 x 5 + 213
Step 3: We consider the new divisor 352 and the new remainder 213, and apply the division lemma to get
352 = 213 x 1 + 139
We consider the new divisor 213 and the new remainder 139,and apply the division lemma to get
213 = 139 x 1 + 74
We consider the new divisor 139 and the new remainder 74,and apply the division lemma to get
139 = 74 x 1 + 65
We consider the new divisor 74 and the new remainder 65,and apply the division lemma to get
74 = 65 x 1 + 9
We consider the new divisor 65 and the new remainder 9,and apply the division lemma to get
65 = 9 x 7 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1973 and 4298 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(65,9) = HCF(74,65) = HCF(139,74) = HCF(213,139) = HCF(352,213) = HCF(1973,352) = HCF(4298,1973) .
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Frequently Asked Questions on HCF of 1973, 4298 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 1973, 4298?
Answer: HCF of 1973, 4298 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1973, 4298 using Euclid's Algorithm?
Answer: For arbitrary numbers 1973, 4298 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.