Highest Common Factor of 2725, 3572 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 2725, 3572 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2725, 3572 is 1 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 2725, 3572 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 2725, 3572 is 1.
HCF(2725, 3572) = 1
HCF of 2725, 3572 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2725, 3572 is 1.
Highest Common Factor of 2725,3572 is 1
Step 1: Since 3572 > 2725, we apply the division lemma to 3572 and 2725, to get
3572 = 2725 x 1 + 847
Step 2: Since the reminder 2725 ≠ 0, we apply division lemma to 847 and 2725, to get
2725 = 847 x 3 + 184
Step 3: We consider the new divisor 847 and the new remainder 184, and apply the division lemma to get
847 = 184 x 4 + 111
We consider the new divisor 184 and the new remainder 111,and apply the division lemma to get
184 = 111 x 1 + 73
We consider the new divisor 111 and the new remainder 73,and apply the division lemma to get
111 = 73 x 1 + 38
We consider the new divisor 73 and the new remainder 38,and apply the division lemma to get
73 = 38 x 1 + 35
We consider the new divisor 38 and the new remainder 35,and apply the division lemma to get
38 = 35 x 1 + 3
We consider the new divisor 35 and the new remainder 3,and apply the division lemma to get
35 = 3 x 11 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2725 and 3572 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(38,35) = HCF(73,38) = HCF(111,73) = HCF(184,111) = HCF(847,184) = HCF(2725,847) = HCF(3572,2725) .
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Frequently Asked Questions on HCF of 2725, 3572 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 2725, 3572?
Answer: HCF of 2725, 3572 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2725, 3572 using Euclid's Algorithm?
Answer: For arbitrary numbers 2725, 3572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
