Highest Common Factor of 7502, 4570 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 7502, 4570 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7502, 4570 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 7502, 4570 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 7502, 4570 is 2.
HCF(7502, 4570) = 2
HCF of 7502, 4570 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7502, 4570 is 2.
Highest Common Factor of 7502,4570 is 2
Step 1: Since 7502 > 4570, we apply the division lemma to 7502 and 4570, to get
7502 = 4570 x 1 + 2932
Step 2: Since the reminder 4570 ≠ 0, we apply division lemma to 2932 and 4570, to get
4570 = 2932 x 1 + 1638
Step 3: We consider the new divisor 2932 and the new remainder 1638, and apply the division lemma to get
2932 = 1638 x 1 + 1294
We consider the new divisor 1638 and the new remainder 1294,and apply the division lemma to get
1638 = 1294 x 1 + 344
We consider the new divisor 1294 and the new remainder 344,and apply the division lemma to get
1294 = 344 x 3 + 262
We consider the new divisor 344 and the new remainder 262,and apply the division lemma to get
344 = 262 x 1 + 82
We consider the new divisor 262 and the new remainder 82,and apply the division lemma to get
262 = 82 x 3 + 16
We consider the new divisor 82 and the new remainder 16,and apply the division lemma to get
82 = 16 x 5 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7502 and 4570 is 2
Notice that 2 = HCF(16,2) = HCF(82,16) = HCF(262,82) = HCF(344,262) = HCF(1294,344) = HCF(1638,1294) = HCF(2932,1638) = HCF(4570,2932) = HCF(7502,4570) .
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Frequently Asked Questions on HCF of 7502, 4570 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 7502, 4570?
Answer: HCF of 7502, 4570 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7502, 4570 using Euclid's Algorithm?
Answer: For arbitrary numbers 7502, 4570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.