Highest Common Factor of 6199, 7964 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 6199, 7964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6199, 7964 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 6199, 7964 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 6199, 7964 is 1.
HCF(6199, 7964) = 1
HCF of 6199, 7964 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6199, 7964 is 1.
Highest Common Factor of 6199,7964 is 1
Step 1: Since 7964 > 6199, we apply the division lemma to 7964 and 6199, to get
7964 = 6199 x 1 + 1765
Step 2: Since the reminder 6199 ≠ 0, we apply division lemma to 1765 and 6199, to get
6199 = 1765 x 3 + 904
Step 3: We consider the new divisor 1765 and the new remainder 904, and apply the division lemma to get
1765 = 904 x 1 + 861
We consider the new divisor 904 and the new remainder 861,and apply the division lemma to get
904 = 861 x 1 + 43
We consider the new divisor 861 and the new remainder 43,and apply the division lemma to get
861 = 43 x 20 + 1
We consider the new divisor 43 and the new remainder 1,and apply the division lemma to get
43 = 1 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6199 and 7964 is 1
Notice that 1 = HCF(43,1) = HCF(861,43) = HCF(904,861) = HCF(1765,904) = HCF(6199,1765) = HCF(7964,6199) .
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Frequently Asked Questions on HCF of 6199, 7964 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 6199, 7964?
Answer: HCF of 6199, 7964 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6199, 7964 using Euclid's Algorithm?
Answer: For arbitrary numbers 6199, 7964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.