Highest Common Factor of 1107, 2699 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 1107, 2699 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1107, 2699 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 1107, 2699 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 1107, 2699 is 1.
HCF(1107, 2699) = 1
HCF of 1107, 2699 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1107, 2699 is 1.
Highest Common Factor of 1107,2699 is 1
Step 1: Since 2699 > 1107, we apply the division lemma to 2699 and 1107, to get
2699 = 1107 x 2 + 485
Step 2: Since the reminder 1107 ≠ 0, we apply division lemma to 485 and 1107, to get
1107 = 485 x 2 + 137
Step 3: We consider the new divisor 485 and the new remainder 137, and apply the division lemma to get
485 = 137 x 3 + 74
We consider the new divisor 137 and the new remainder 74,and apply the division lemma to get
137 = 74 x 1 + 63
We consider the new divisor 74 and the new remainder 63,and apply the division lemma to get
74 = 63 x 1 + 11
We consider the new divisor 63 and the new remainder 11,and apply the division lemma to get
63 = 11 x 5 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 1107 and 2699 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(63,11) = HCF(74,63) = HCF(137,74) = HCF(485,137) = HCF(1107,485) = HCF(2699,1107) .
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Frequently Asked Questions on HCF of 1107, 2699 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 1107, 2699?
Answer: HCF of 1107, 2699 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1107, 2699 using Euclid's Algorithm?
Answer: For arbitrary numbers 1107, 2699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
