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 9451, 6101 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9451, 6101 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 9451, 6101 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 9451, 6101 is 1.
HCF(9451, 6101) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9451, 6101 is 1.
Step 1: Since 9451 > 6101, we apply the division lemma to 9451 and 6101, to get
9451 = 6101 x 1 + 3350
Step 2: Since the reminder 6101 ≠ 0, we apply division lemma to 3350 and 6101, to get
6101 = 3350 x 1 + 2751
Step 3: We consider the new divisor 3350 and the new remainder 2751, and apply the division lemma to get
3350 = 2751 x 1 + 599
We consider the new divisor 2751 and the new remainder 599,and apply the division lemma to get
2751 = 599 x 4 + 355
We consider the new divisor 599 and the new remainder 355,and apply the division lemma to get
599 = 355 x 1 + 244
We consider the new divisor 355 and the new remainder 244,and apply the division lemma to get
355 = 244 x 1 + 111
We consider the new divisor 244 and the new remainder 111,and apply the division lemma to get
244 = 111 x 2 + 22
We consider the new divisor 111 and the new remainder 22,and apply the division lemma to get
111 = 22 x 5 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9451 and 6101 is 1
Notice that 1 = HCF(22,1) = HCF(111,22) = HCF(244,111) = HCF(355,244) = HCF(599,355) = HCF(2751,599) = HCF(3350,2751) = HCF(6101,3350) = HCF(9451,6101) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 9451, 6101?
Answer: HCF of 9451, 6101 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9451, 6101 using Euclid's Algorithm?
Answer: For arbitrary numbers 9451, 6101 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.