Highest Common Factor of 4998, 6037 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 4998, 6037 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4998, 6037 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 4998, 6037 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 4998, 6037 is 1.
HCF(4998, 6037) = 1
HCF of 4998, 6037 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4998, 6037 is 1.
Highest Common Factor of 4998,6037 is 1
Step 1: Since 6037 > 4998, we apply the division lemma to 6037 and 4998, to get
6037 = 4998 x 1 + 1039
Step 2: Since the reminder 4998 ≠ 0, we apply division lemma to 1039 and 4998, to get
4998 = 1039 x 4 + 842
Step 3: We consider the new divisor 1039 and the new remainder 842, and apply the division lemma to get
1039 = 842 x 1 + 197
We consider the new divisor 842 and the new remainder 197,and apply the division lemma to get
842 = 197 x 4 + 54
We consider the new divisor 197 and the new remainder 54,and apply the division lemma to get
197 = 54 x 3 + 35
We consider the new divisor 54 and the new remainder 35,and apply the division lemma to get
54 = 35 x 1 + 19
We consider the new divisor 35 and the new remainder 19,and apply the division lemma to get
35 = 19 x 1 + 16
We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get
19 = 16 x 1 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4998 and 6037 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(35,19) = HCF(54,35) = HCF(197,54) = HCF(842,197) = HCF(1039,842) = HCF(4998,1039) = HCF(6037,4998) .
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Frequently Asked Questions on HCF of 4998, 6037 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 4998, 6037?
Answer: HCF of 4998, 6037 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4998, 6037 using Euclid's Algorithm?
Answer: For arbitrary numbers 4998, 6037 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
