Highest Common Factor of 6007, 1248 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, 1248 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6007, 1248 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, 1248 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, 1248 is 1.
HCF(6007, 1248) = 1
HCF of 6007, 1248 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, 1248 is 1.
Highest Common Factor of 6007,1248 is 1
Step 1: Since 6007 > 1248, we apply the division lemma to 6007 and 1248, to get
6007 = 1248 x 4 + 1015
Step 2: Since the reminder 1248 ≠ 0, we apply division lemma to 1015 and 1248, to get
1248 = 1015 x 1 + 233
Step 3: We consider the new divisor 1015 and the new remainder 233, and apply the division lemma to get
1015 = 233 x 4 + 83
We consider the new divisor 233 and the new remainder 83,and apply the division lemma to get
233 = 83 x 2 + 67
We consider the new divisor 83 and the new remainder 67,and apply the division lemma to get
83 = 67 x 1 + 16
We consider the new divisor 67 and the new remainder 16,and apply the division lemma to get
67 = 16 x 4 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6007 and 1248 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(67,16) = HCF(83,67) = HCF(233,83) = HCF(1015,233) = HCF(1248,1015) = HCF(6007,1248) .
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Frequently Asked Questions on HCF of 6007, 1248 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, 1248?
Answer: HCF of 6007, 1248 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6007, 1248 using Euclid's Algorithm?
Answer: For arbitrary numbers 6007, 1248 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.