Highest Common Factor of 7587, 6099 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 7587, 6099 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7587, 6099 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 7587, 6099 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 7587, 6099 is 3.
HCF(7587, 6099) = 3
HCF of 7587, 6099 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7587, 6099 is 3.
Highest Common Factor of 7587,6099 is 3
Step 1: Since 7587 > 6099, we apply the division lemma to 7587 and 6099, to get
7587 = 6099 x 1 + 1488
Step 2: Since the reminder 6099 ≠ 0, we apply division lemma to 1488 and 6099, to get
6099 = 1488 x 4 + 147
Step 3: We consider the new divisor 1488 and the new remainder 147, and apply the division lemma to get
1488 = 147 x 10 + 18
We consider the new divisor 147 and the new remainder 18,and apply the division lemma to get
147 = 18 x 8 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7587 and 6099 is 3
Notice that 3 = HCF(18,3) = HCF(147,18) = HCF(1488,147) = HCF(6099,1488) = HCF(7587,6099) .
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Frequently Asked Questions on HCF of 7587, 6099 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 7587, 6099?
Answer: HCF of 7587, 6099 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7587, 6099 using Euclid's Algorithm?
Answer: For arbitrary numbers 7587, 6099 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
