Highest Common Factor of 6762, 1901 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 6762, 1901 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6762, 1901 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 6762, 1901 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 6762, 1901 is 1.
HCF(6762, 1901) = 1
HCF of 6762, 1901 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6762, 1901 is 1.
Highest Common Factor of 6762,1901 is 1
Step 1: Since 6762 > 1901, we apply the division lemma to 6762 and 1901, to get
6762 = 1901 x 3 + 1059
Step 2: Since the reminder 1901 ≠ 0, we apply division lemma to 1059 and 1901, to get
1901 = 1059 x 1 + 842
Step 3: We consider the new divisor 1059 and the new remainder 842, and apply the division lemma to get
1059 = 842 x 1 + 217
We consider the new divisor 842 and the new remainder 217,and apply the division lemma to get
842 = 217 x 3 + 191
We consider the new divisor 217 and the new remainder 191,and apply the division lemma to get
217 = 191 x 1 + 26
We consider the new divisor 191 and the new remainder 26,and apply the division lemma to get
191 = 26 x 7 + 9
We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get
26 = 9 x 2 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6762 and 1901 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(191,26) = HCF(217,191) = HCF(842,217) = HCF(1059,842) = HCF(1901,1059) = HCF(6762,1901) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6762, 1901 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 6762, 1901?
Answer: HCF of 6762, 1901 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6762, 1901 using Euclid's Algorithm?
Answer: For arbitrary numbers 6762, 1901 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.