Highest Common Factor of 7543, 6298, 58872 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 7543, 6298, 58872 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7543, 6298, 58872 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 7543, 6298, 58872 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 7543, 6298, 58872 is 1.
HCF(7543, 6298, 58872) = 1
HCF of 7543, 6298, 58872 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7543, 6298, 58872 is 1.
Highest Common Factor of 7543,6298,58872 is 1
Step 1: Since 7543 > 6298, we apply the division lemma to 7543 and 6298, to get
7543 = 6298 x 1 + 1245
Step 2: Since the reminder 6298 ≠ 0, we apply division lemma to 1245 and 6298, to get
6298 = 1245 x 5 + 73
Step 3: We consider the new divisor 1245 and the new remainder 73, and apply the division lemma to get
1245 = 73 x 17 + 4
We consider the new divisor 73 and the new remainder 4,and apply the division lemma to get
73 = 4 x 18 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7543 and 6298 is 1
Notice that 1 = HCF(4,1) = HCF(73,4) = HCF(1245,73) = HCF(6298,1245) = HCF(7543,6298) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58872 > 1, we apply the division lemma to 58872 and 1, to get
58872 = 1 x 58872 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58872 is 1
Notice that 1 = HCF(58872,1) .
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Frequently Asked Questions on HCF of 7543, 6298, 58872 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 7543, 6298, 58872?
Answer: HCF of 7543, 6298, 58872 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7543, 6298, 58872 using Euclid's Algorithm?
Answer: For arbitrary numbers 7543, 6298, 58872 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
