Highest Common Factor of 1700, 6726 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 1700, 6726 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1700, 6726 is 2 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 1700, 6726 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 1700, 6726 is 2.
HCF(1700, 6726) = 2
HCF of 1700, 6726 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1700, 6726 is 2.
Highest Common Factor of 1700,6726 is 2
Step 1: Since 6726 > 1700, we apply the division lemma to 6726 and 1700, to get
6726 = 1700 x 3 + 1626
Step 2: Since the reminder 1700 ≠ 0, we apply division lemma to 1626 and 1700, to get
1700 = 1626 x 1 + 74
Step 3: We consider the new divisor 1626 and the new remainder 74, and apply the division lemma to get
1626 = 74 x 21 + 72
We consider the new divisor 74 and the new remainder 72,and apply the division lemma to get
74 = 72 x 1 + 2
We consider the new divisor 72 and the new remainder 2,and apply the division lemma to get
72 = 2 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1700 and 6726 is 2
Notice that 2 = HCF(72,2) = HCF(74,72) = HCF(1626,74) = HCF(1700,1626) = HCF(6726,1700) .
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Frequently Asked Questions on HCF of 1700, 6726 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 1700, 6726?
Answer: HCF of 1700, 6726 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1700, 6726 using Euclid's Algorithm?
Answer: For arbitrary numbers 1700, 6726 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
