Highest Common Factor of 6007, 7588 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 6007, 7588 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6007, 7588 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 6007, 7588 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 6007, 7588 is 1.
HCF(6007, 7588) = 1
HCF of 6007, 7588 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6007, 7588 is 1.
Highest Common Factor of 6007,7588 is 1
Step 1: Since 7588 > 6007, we apply the division lemma to 7588 and 6007, to get
7588 = 6007 x 1 + 1581
Step 2: Since the reminder 6007 ≠ 0, we apply division lemma to 1581 and 6007, to get
6007 = 1581 x 3 + 1264
Step 3: We consider the new divisor 1581 and the new remainder 1264, and apply the division lemma to get
1581 = 1264 x 1 + 317
We consider the new divisor 1264 and the new remainder 317,and apply the division lemma to get
1264 = 317 x 3 + 313
We consider the new divisor 317 and the new remainder 313,and apply the division lemma to get
317 = 313 x 1 + 4
We consider the new divisor 313 and the new remainder 4,and apply the division lemma to get
313 = 4 x 78 + 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 6007 and 7588 is 1
Notice that 1 = HCF(4,1) = HCF(313,4) = HCF(317,313) = HCF(1264,317) = HCF(1581,1264) = HCF(6007,1581) = HCF(7588,6007) .
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Frequently Asked Questions on HCF of 6007, 7588 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 6007, 7588?
Answer: HCF of 6007, 7588 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6007, 7588 using Euclid's Algorithm?
Answer: For arbitrary numbers 6007, 7588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.