Highest Common Factor of 5532, 7810 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 5532, 7810 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5532, 7810 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 5532, 7810 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 5532, 7810 is 2.
HCF(5532, 7810) = 2
HCF of 5532, 7810 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5532, 7810 is 2.
Highest Common Factor of 5532,7810 is 2
Step 1: Since 7810 > 5532, we apply the division lemma to 7810 and 5532, to get
7810 = 5532 x 1 + 2278
Step 2: Since the reminder 5532 ≠ 0, we apply division lemma to 2278 and 5532, to get
5532 = 2278 x 2 + 976
Step 3: We consider the new divisor 2278 and the new remainder 976, and apply the division lemma to get
2278 = 976 x 2 + 326
We consider the new divisor 976 and the new remainder 326,and apply the division lemma to get
976 = 326 x 2 + 324
We consider the new divisor 326 and the new remainder 324,and apply the division lemma to get
326 = 324 x 1 + 2
We consider the new divisor 324 and the new remainder 2,and apply the division lemma to get
324 = 2 x 162 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5532 and 7810 is 2
Notice that 2 = HCF(324,2) = HCF(326,324) = HCF(976,326) = HCF(2278,976) = HCF(5532,2278) = HCF(7810,5532) .
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Frequently Asked Questions on HCF of 5532, 7810 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 5532, 7810?
Answer: HCF of 5532, 7810 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5532, 7810 using Euclid's Algorithm?
Answer: For arbitrary numbers 5532, 7810 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.