Highest Common Factor of 7416, 5439 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 7416, 5439 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7416, 5439 is 3 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 7416, 5439 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 7416, 5439 is 3.
HCF(7416, 5439) = 3
HCF of 7416, 5439 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7416, 5439 is 3.
Highest Common Factor of 7416,5439 is 3
Step 1: Since 7416 > 5439, we apply the division lemma to 7416 and 5439, to get
7416 = 5439 x 1 + 1977
Step 2: Since the reminder 5439 ≠ 0, we apply division lemma to 1977 and 5439, to get
5439 = 1977 x 2 + 1485
Step 3: We consider the new divisor 1977 and the new remainder 1485, and apply the division lemma to get
1977 = 1485 x 1 + 492
We consider the new divisor 1485 and the new remainder 492,and apply the division lemma to get
1485 = 492 x 3 + 9
We consider the new divisor 492 and the new remainder 9,and apply the division lemma to get
492 = 9 x 54 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7416 and 5439 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(492,9) = HCF(1485,492) = HCF(1977,1485) = HCF(5439,1977) = HCF(7416,5439) .
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Frequently Asked Questions on HCF of 7416, 5439 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 7416, 5439?
Answer: HCF of 7416, 5439 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7416, 5439 using Euclid's Algorithm?
Answer: For arbitrary numbers 7416, 5439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.