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 9760, 4342 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9760, 4342 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 9760, 4342 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 9760, 4342 is 2.
HCF(9760, 4342) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9760, 4342 is 2.
Step 1: Since 9760 > 4342, we apply the division lemma to 9760 and 4342, to get
9760 = 4342 x 2 + 1076
Step 2: Since the reminder 4342 ≠ 0, we apply division lemma to 1076 and 4342, to get
4342 = 1076 x 4 + 38
Step 3: We consider the new divisor 1076 and the new remainder 38, and apply the division lemma to get
1076 = 38 x 28 + 12
We consider the new divisor 38 and the new remainder 12,and apply the division lemma to get
38 = 12 x 3 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9760 and 4342 is 2
Notice that 2 = HCF(12,2) = HCF(38,12) = HCF(1076,38) = HCF(4342,1076) = HCF(9760,4342) .
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 9760, 4342?
Answer: HCF of 9760, 4342 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9760, 4342 using Euclid's Algorithm?
Answer: For arbitrary numbers 9760, 4342 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.