Highest Common Factor of 5506, 7952 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 5506, 7952 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5506, 7952 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 5506, 7952 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 5506, 7952 is 2.
HCF(5506, 7952) = 2
HCF of 5506, 7952 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5506, 7952 is 2.
Highest Common Factor of 5506,7952 is 2
Step 1: Since 7952 > 5506, we apply the division lemma to 7952 and 5506, to get
7952 = 5506 x 1 + 2446
Step 2: Since the reminder 5506 ≠ 0, we apply division lemma to 2446 and 5506, to get
5506 = 2446 x 2 + 614
Step 3: We consider the new divisor 2446 and the new remainder 614, and apply the division lemma to get
2446 = 614 x 3 + 604
We consider the new divisor 614 and the new remainder 604,and apply the division lemma to get
614 = 604 x 1 + 10
We consider the new divisor 604 and the new remainder 10,and apply the division lemma to get
604 = 10 x 60 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5506 and 7952 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(604,10) = HCF(614,604) = HCF(2446,614) = HCF(5506,2446) = HCF(7952,5506) .
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Frequently Asked Questions on HCF of 5506, 7952 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 5506, 7952?
Answer: HCF of 5506, 7952 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5506, 7952 using Euclid's Algorithm?
Answer: For arbitrary numbers 5506, 7952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.