Highest Common Factor of 9976, 2246 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 9976, 2246 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9976, 2246 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 9976, 2246 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 9976, 2246 is 2.
HCF(9976, 2246) = 2
HCF of 9976, 2246 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9976, 2246 is 2.
Highest Common Factor of 9976,2246 is 2
Step 1: Since 9976 > 2246, we apply the division lemma to 9976 and 2246, to get
9976 = 2246 x 4 + 992
Step 2: Since the reminder 2246 ≠ 0, we apply division lemma to 992 and 2246, to get
2246 = 992 x 2 + 262
Step 3: We consider the new divisor 992 and the new remainder 262, and apply the division lemma to get
992 = 262 x 3 + 206
We consider the new divisor 262 and the new remainder 206,and apply the division lemma to get
262 = 206 x 1 + 56
We consider the new divisor 206 and the new remainder 56,and apply the division lemma to get
206 = 56 x 3 + 38
We consider the new divisor 56 and the new remainder 38,and apply the division lemma to get
56 = 38 x 1 + 18
We consider the new divisor 38 and the new remainder 18,and apply the division lemma to get
38 = 18 x 2 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9976 and 2246 is 2
Notice that 2 = HCF(18,2) = HCF(38,18) = HCF(56,38) = HCF(206,56) = HCF(262,206) = HCF(992,262) = HCF(2246,992) = HCF(9976,2246) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9976, 2246 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 9976, 2246?
Answer: HCF of 9976, 2246 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9976, 2246 using Euclid's Algorithm?
Answer: For arbitrary numbers 9976, 2246 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.