Highest Common Factor of 4998, 4650 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, 4650 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 4998, 4650 is 6 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, 4650 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, 4650 is 6.
HCF(4998, 4650) = 6
HCF of 4998, 4650 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, 4650 is 6.
Highest Common Factor of 4998,4650 is 6
Step 1: Since 4998 > 4650, we apply the division lemma to 4998 and 4650, to get
4998 = 4650 x 1 + 348
Step 2: Since the reminder 4650 ≠ 0, we apply division lemma to 348 and 4650, to get
4650 = 348 x 13 + 126
Step 3: We consider the new divisor 348 and the new remainder 126, and apply the division lemma to get
348 = 126 x 2 + 96
We consider the new divisor 126 and the new remainder 96,and apply the division lemma to get
126 = 96 x 1 + 30
We consider the new divisor 96 and the new remainder 30,and apply the division lemma to get
96 = 30 x 3 + 6
We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get
30 = 6 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 4998 and 4650 is 6
Notice that 6 = HCF(30,6) = HCF(96,30) = HCF(126,96) = HCF(348,126) = HCF(4650,348) = HCF(4998,4650) .
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Frequently Asked Questions on HCF of 4998, 4650 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, 4650?
Answer: HCF of 4998, 4650 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4998, 4650 using Euclid's Algorithm?
Answer: For arbitrary numbers 4998, 4650 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.