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 4865, 8120 i.e. 35 the largest integer that leaves a remainder zero for all numbers.
HCF of 4865, 8120 is 35 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 4865, 8120 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 4865, 8120 is 35.
HCF(4865, 8120) = 35
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4865, 8120 is 35.
Step 1: Since 8120 > 4865, we apply the division lemma to 8120 and 4865, to get
8120 = 4865 x 1 + 3255
Step 2: Since the reminder 4865 ≠ 0, we apply division lemma to 3255 and 4865, to get
4865 = 3255 x 1 + 1610
Step 3: We consider the new divisor 3255 and the new remainder 1610, and apply the division lemma to get
3255 = 1610 x 2 + 35
We consider the new divisor 1610 and the new remainder 35, and apply the division lemma to get
1610 = 35 x 46 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 35, the HCF of 4865 and 8120 is 35
Notice that 35 = HCF(1610,35) = HCF(3255,1610) = HCF(4865,3255) = HCF(8120,4865) .
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 4865, 8120?
Answer: HCF of 4865, 8120 is 35 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4865, 8120 using Euclid's Algorithm?
Answer: For arbitrary numbers 4865, 8120 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.