Highest Common Factor of 7600, 1699 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 7600, 1699 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7600, 1699 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 7600, 1699 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 7600, 1699 is 1.
HCF(7600, 1699) = 1
HCF of 7600, 1699 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7600, 1699 is 1.
Highest Common Factor of 7600,1699 is 1
Step 1: Since 7600 > 1699, we apply the division lemma to 7600 and 1699, to get
7600 = 1699 x 4 + 804
Step 2: Since the reminder 1699 ≠ 0, we apply division lemma to 804 and 1699, to get
1699 = 804 x 2 + 91
Step 3: We consider the new divisor 804 and the new remainder 91, and apply the division lemma to get
804 = 91 x 8 + 76
We consider the new divisor 91 and the new remainder 76,and apply the division lemma to get
91 = 76 x 1 + 15
We consider the new divisor 76 and the new remainder 15,and apply the division lemma to get
76 = 15 x 5 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7600 and 1699 is 1
Notice that 1 = HCF(15,1) = HCF(76,15) = HCF(91,76) = HCF(804,91) = HCF(1699,804) = HCF(7600,1699) .
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Frequently Asked Questions on HCF of 7600, 1699 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 7600, 1699?
Answer: HCF of 7600, 1699 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7600, 1699 using Euclid's Algorithm?
Answer: For arbitrary numbers 7600, 1699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.