Highest Common Factor of 6918, 6107 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 6918, 6107 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6918, 6107 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 6918, 6107 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 6918, 6107 is 1.
HCF(6918, 6107) = 1
HCF of 6918, 6107 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6918, 6107 is 1.
Highest Common Factor of 6918,6107 is 1
Step 1: Since 6918 > 6107, we apply the division lemma to 6918 and 6107, to get
6918 = 6107 x 1 + 811
Step 2: Since the reminder 6107 ≠ 0, we apply division lemma to 811 and 6107, to get
6107 = 811 x 7 + 430
Step 3: We consider the new divisor 811 and the new remainder 430, and apply the division lemma to get
811 = 430 x 1 + 381
We consider the new divisor 430 and the new remainder 381,and apply the division lemma to get
430 = 381 x 1 + 49
We consider the new divisor 381 and the new remainder 49,and apply the division lemma to get
381 = 49 x 7 + 38
We consider the new divisor 49 and the new remainder 38,and apply the division lemma to get
49 = 38 x 1 + 11
We consider the new divisor 38 and the new remainder 11,and apply the division lemma to get
38 = 11 x 3 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6918 and 6107 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(38,11) = HCF(49,38) = HCF(381,49) = HCF(430,381) = HCF(811,430) = HCF(6107,811) = HCF(6918,6107) .
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Frequently Asked Questions on HCF of 6918, 6107 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 6918, 6107?
Answer: HCF of 6918, 6107 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6918, 6107 using Euclid's Algorithm?
Answer: For arbitrary numbers 6918, 6107 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.