Highest Common Factor of 3125, 7504 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 3125, 7504 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3125, 7504 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 3125, 7504 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 3125, 7504 is 1.
HCF(3125, 7504) = 1
HCF of 3125, 7504 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3125, 7504 is 1.
Highest Common Factor of 3125,7504 is 1
Step 1: Since 7504 > 3125, we apply the division lemma to 7504 and 3125, to get
7504 = 3125 x 2 + 1254
Step 2: Since the reminder 3125 ≠ 0, we apply division lemma to 1254 and 3125, to get
3125 = 1254 x 2 + 617
Step 3: We consider the new divisor 1254 and the new remainder 617, and apply the division lemma to get
1254 = 617 x 2 + 20
We consider the new divisor 617 and the new remainder 20,and apply the division lemma to get
617 = 20 x 30 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 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 3125 and 7504 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(617,20) = HCF(1254,617) = HCF(3125,1254) = HCF(7504,3125) .
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Frequently Asked Questions on HCF of 3125, 7504 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 3125, 7504?
Answer: HCF of 3125, 7504 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3125, 7504 using Euclid's Algorithm?
Answer: For arbitrary numbers 3125, 7504 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.