Highest Common Factor of 2766, 4998 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 2766, 4998 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 2766, 4998 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 2766, 4998 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 2766, 4998 is 6.
HCF(2766, 4998) = 6
HCF of 2766, 4998 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2766, 4998 is 6.
Highest Common Factor of 2766,4998 is 6
Step 1: Since 4998 > 2766, we apply the division lemma to 4998 and 2766, to get
4998 = 2766 x 1 + 2232
Step 2: Since the reminder 2766 ≠ 0, we apply division lemma to 2232 and 2766, to get
2766 = 2232 x 1 + 534
Step 3: We consider the new divisor 2232 and the new remainder 534, and apply the division lemma to get
2232 = 534 x 4 + 96
We consider the new divisor 534 and the new remainder 96,and apply the division lemma to get
534 = 96 x 5 + 54
We consider the new divisor 96 and the new remainder 54,and apply the division lemma to get
96 = 54 x 1 + 42
We consider the new divisor 54 and the new remainder 42,and apply the division lemma to get
54 = 42 x 1 + 12
We consider the new divisor 42 and the new remainder 12,and apply the division lemma to get
42 = 12 x 3 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 2766 and 4998 is 6
Notice that 6 = HCF(12,6) = HCF(42,12) = HCF(54,42) = HCF(96,54) = HCF(534,96) = HCF(2232,534) = HCF(2766,2232) = HCF(4998,2766) .
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Frequently Asked Questions on HCF of 2766, 4998 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 2766, 4998?
Answer: HCF of 2766, 4998 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2766, 4998 using Euclid's Algorithm?
Answer: For arbitrary numbers 2766, 4998 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
