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 4860, 9422 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4860, 9422 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 4860, 9422 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 4860, 9422 is 2.
HCF(4860, 9422) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4860, 9422 is 2.
Step 1: Since 9422 > 4860, we apply the division lemma to 9422 and 4860, to get
9422 = 4860 x 1 + 4562
Step 2: Since the reminder 4860 ≠ 0, we apply division lemma to 4562 and 4860, to get
4860 = 4562 x 1 + 298
Step 3: We consider the new divisor 4562 and the new remainder 298, and apply the division lemma to get
4562 = 298 x 15 + 92
We consider the new divisor 298 and the new remainder 92,and apply the division lemma to get
298 = 92 x 3 + 22
We consider the new divisor 92 and the new remainder 22,and apply the division lemma to get
92 = 22 x 4 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4860 and 9422 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(92,22) = HCF(298,92) = HCF(4562,298) = HCF(4860,4562) = HCF(9422,4860) .
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 4860, 9422?
Answer: HCF of 4860, 9422 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4860, 9422 using Euclid's Algorithm?
Answer: For arbitrary numbers 4860, 9422 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.