Highest Common Factor of 2570, 4835 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 2570, 4835 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 2570, 4835 is 5 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 2570, 4835 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 2570, 4835 is 5.
HCF(2570, 4835) = 5
HCF of 2570, 4835 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2570, 4835 is 5.
Highest Common Factor of 2570,4835 is 5
Step 1: Since 4835 > 2570, we apply the division lemma to 4835 and 2570, to get
4835 = 2570 x 1 + 2265
Step 2: Since the reminder 2570 ≠ 0, we apply division lemma to 2265 and 2570, to get
2570 = 2265 x 1 + 305
Step 3: We consider the new divisor 2265 and the new remainder 305, and apply the division lemma to get
2265 = 305 x 7 + 130
We consider the new divisor 305 and the new remainder 130,and apply the division lemma to get
305 = 130 x 2 + 45
We consider the new divisor 130 and the new remainder 45,and apply the division lemma to get
130 = 45 x 2 + 40
We consider the new divisor 45 and the new remainder 40,and apply the division lemma to get
45 = 40 x 1 + 5
We consider the new divisor 40 and the new remainder 5,and apply the division lemma to get
40 = 5 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 2570 and 4835 is 5
Notice that 5 = HCF(40,5) = HCF(45,40) = HCF(130,45) = HCF(305,130) = HCF(2265,305) = HCF(2570,2265) = HCF(4835,2570) .
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Frequently Asked Questions on HCF of 2570, 4835 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 2570, 4835?
Answer: HCF of 2570, 4835 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2570, 4835 using Euclid's Algorithm?
Answer: For arbitrary numbers 2570, 4835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.