Highest Common Factor of 5515, 8725 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 5515, 8725 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5515, 8725 is 5 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 5515, 8725 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 5515, 8725 is 5.
HCF(5515, 8725) = 5
HCF of 5515, 8725 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5515, 8725 is 5.
Highest Common Factor of 5515,8725 is 5
Step 1: Since 8725 > 5515, we apply the division lemma to 8725 and 5515, to get
8725 = 5515 x 1 + 3210
Step 2: Since the reminder 5515 ≠ 0, we apply division lemma to 3210 and 5515, to get
5515 = 3210 x 1 + 2305
Step 3: We consider the new divisor 3210 and the new remainder 2305, and apply the division lemma to get
3210 = 2305 x 1 + 905
We consider the new divisor 2305 and the new remainder 905,and apply the division lemma to get
2305 = 905 x 2 + 495
We consider the new divisor 905 and the new remainder 495,and apply the division lemma to get
905 = 495 x 1 + 410
We consider the new divisor 495 and the new remainder 410,and apply the division lemma to get
495 = 410 x 1 + 85
We consider the new divisor 410 and the new remainder 85,and apply the division lemma to get
410 = 85 x 4 + 70
We consider the new divisor 85 and the new remainder 70,and apply the division lemma to get
85 = 70 x 1 + 15
We consider the new divisor 70 and the new remainder 15,and apply the division lemma to get
70 = 15 x 4 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5515 and 8725 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(70,15) = HCF(85,70) = HCF(410,85) = HCF(495,410) = HCF(905,495) = HCF(2305,905) = HCF(3210,2305) = HCF(5515,3210) = HCF(8725,5515) .
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Frequently Asked Questions on HCF of 5515, 8725 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 5515, 8725?
Answer: HCF of 5515, 8725 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5515, 8725 using Euclid's Algorithm?
Answer: For arbitrary numbers 5515, 8725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.