Highest Common Factor of 7499, 7834 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 7499, 7834 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7499, 7834 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 7499, 7834 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 7499, 7834 is 1.
HCF(7499, 7834) = 1
HCF of 7499, 7834 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7499, 7834 is 1.
Highest Common Factor of 7499,7834 is 1
Step 1: Since 7834 > 7499, we apply the division lemma to 7834 and 7499, to get
7834 = 7499 x 1 + 335
Step 2: Since the reminder 7499 ≠ 0, we apply division lemma to 335 and 7499, to get
7499 = 335 x 22 + 129
Step 3: We consider the new divisor 335 and the new remainder 129, and apply the division lemma to get
335 = 129 x 2 + 77
We consider the new divisor 129 and the new remainder 77,and apply the division lemma to get
129 = 77 x 1 + 52
We consider the new divisor 77 and the new remainder 52,and apply the division lemma to get
77 = 52 x 1 + 25
We consider the new divisor 52 and the new remainder 25,and apply the division lemma to get
52 = 25 x 2 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7499 and 7834 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(52,25) = HCF(77,52) = HCF(129,77) = HCF(335,129) = HCF(7499,335) = HCF(7834,7499) .
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Frequently Asked Questions on HCF of 7499, 7834 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 7499, 7834?
Answer: HCF of 7499, 7834 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7499, 7834 using Euclid's Algorithm?
Answer: For arbitrary numbers 7499, 7834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.