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 962, 40198 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 962, 40198 is 2 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 962, 40198 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 962, 40198 is 2.
HCF(962, 40198) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 962, 40198 is 2.
Step 1: Since 40198 > 962, we apply the division lemma to 40198 and 962, to get
40198 = 962 x 41 + 756
Step 2: Since the reminder 962 ≠ 0, we apply division lemma to 756 and 962, to get
962 = 756 x 1 + 206
Step 3: We consider the new divisor 756 and the new remainder 206, and apply the division lemma to get
756 = 206 x 3 + 138
We consider the new divisor 206 and the new remainder 138,and apply the division lemma to get
206 = 138 x 1 + 68
We consider the new divisor 138 and the new remainder 68,and apply the division lemma to get
138 = 68 x 2 + 2
We consider the new divisor 68 and the new remainder 2,and apply the division lemma to get
68 = 2 x 34 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 962 and 40198 is 2
Notice that 2 = HCF(68,2) = HCF(138,68) = HCF(206,138) = HCF(756,206) = HCF(962,756) = HCF(40198,962) .
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 962, 40198?
Answer: HCF of 962, 40198 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 962, 40198 using Euclid's Algorithm?
Answer: For arbitrary numbers 962, 40198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.