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 6154, 941 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6154, 941 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 6154, 941 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 6154, 941 is 1.
HCF(6154, 941) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6154, 941 is 1.
Step 1: Since 6154 > 941, we apply the division lemma to 6154 and 941, to get
6154 = 941 x 6 + 508
Step 2: Since the reminder 941 ≠ 0, we apply division lemma to 508 and 941, to get
941 = 508 x 1 + 433
Step 3: We consider the new divisor 508 and the new remainder 433, and apply the division lemma to get
508 = 433 x 1 + 75
We consider the new divisor 433 and the new remainder 75,and apply the division lemma to get
433 = 75 x 5 + 58
We consider the new divisor 75 and the new remainder 58,and apply the division lemma to get
75 = 58 x 1 + 17
We consider the new divisor 58 and the new remainder 17,and apply the division lemma to get
58 = 17 x 3 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6154 and 941 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(58,17) = HCF(75,58) = HCF(433,75) = HCF(508,433) = HCF(941,508) = HCF(6154,941) .
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 6154, 941?
Answer: HCF of 6154, 941 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6154, 941 using Euclid's Algorithm?
Answer: For arbitrary numbers 6154, 941 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.