Highest Common Factor of 2930, 7532 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 2930, 7532 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2930, 7532 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 2930, 7532 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 2930, 7532 is 2.
HCF(2930, 7532) = 2
HCF of 2930, 7532 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2930, 7532 is 2.
Highest Common Factor of 2930,7532 is 2
Step 1: Since 7532 > 2930, we apply the division lemma to 7532 and 2930, to get
7532 = 2930 x 2 + 1672
Step 2: Since the reminder 2930 ≠ 0, we apply division lemma to 1672 and 2930, to get
2930 = 1672 x 1 + 1258
Step 3: We consider the new divisor 1672 and the new remainder 1258, and apply the division lemma to get
1672 = 1258 x 1 + 414
We consider the new divisor 1258 and the new remainder 414,and apply the division lemma to get
1258 = 414 x 3 + 16
We consider the new divisor 414 and the new remainder 16,and apply the division lemma to get
414 = 16 x 25 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2930 and 7532 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(414,16) = HCF(1258,414) = HCF(1672,1258) = HCF(2930,1672) = HCF(7532,2930) .
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Frequently Asked Questions on HCF of 2930, 7532 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 2930, 7532?
Answer: HCF of 2930, 7532 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2930, 7532 using Euclid's Algorithm?
Answer: For arbitrary numbers 2930, 7532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.