Highest Common Factor of 4890, 7369 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 4890, 7369 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4890, 7369 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 4890, 7369 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 4890, 7369 is 1.
HCF(4890, 7369) = 1
HCF of 4890, 7369 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4890, 7369 is 1.
Highest Common Factor of 4890,7369 is 1
Step 1: Since 7369 > 4890, we apply the division lemma to 7369 and 4890, to get
7369 = 4890 x 1 + 2479
Step 2: Since the reminder 4890 ≠ 0, we apply division lemma to 2479 and 4890, to get
4890 = 2479 x 1 + 2411
Step 3: We consider the new divisor 2479 and the new remainder 2411, and apply the division lemma to get
2479 = 2411 x 1 + 68
We consider the new divisor 2411 and the new remainder 68,and apply the division lemma to get
2411 = 68 x 35 + 31
We consider the new divisor 68 and the new remainder 31,and apply the division lemma to get
68 = 31 x 2 + 6
We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get
31 = 6 x 5 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4890 and 7369 is 1
Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(68,31) = HCF(2411,68) = HCF(2479,2411) = HCF(4890,2479) = HCF(7369,4890) .
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Frequently Asked Questions on HCF of 4890, 7369 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 4890, 7369?
Answer: HCF of 4890, 7369 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4890, 7369 using Euclid's Algorithm?
Answer: For arbitrary numbers 4890, 7369 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.