Highest Common Factor of 5505, 8935 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 5505, 8935 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5505, 8935 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 5505, 8935 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 5505, 8935 is 5.
HCF(5505, 8935) = 5
HCF of 5505, 8935 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5505, 8935 is 5.
Highest Common Factor of 5505,8935 is 5
Step 1: Since 8935 > 5505, we apply the division lemma to 8935 and 5505, to get
8935 = 5505 x 1 + 3430
Step 2: Since the reminder 5505 ≠ 0, we apply division lemma to 3430 and 5505, to get
5505 = 3430 x 1 + 2075
Step 3: We consider the new divisor 3430 and the new remainder 2075, and apply the division lemma to get
3430 = 2075 x 1 + 1355
We consider the new divisor 2075 and the new remainder 1355,and apply the division lemma to get
2075 = 1355 x 1 + 720
We consider the new divisor 1355 and the new remainder 720,and apply the division lemma to get
1355 = 720 x 1 + 635
We consider the new divisor 720 and the new remainder 635,and apply the division lemma to get
720 = 635 x 1 + 85
We consider the new divisor 635 and the new remainder 85,and apply the division lemma to get
635 = 85 x 7 + 40
We consider the new divisor 85 and the new remainder 40,and apply the division lemma to get
85 = 40 x 2 + 5
We consider the new divisor 40 and the new remainder 5,and apply the division lemma to get
40 = 5 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5505 and 8935 is 5
Notice that 5 = HCF(40,5) = HCF(85,40) = HCF(635,85) = HCF(720,635) = HCF(1355,720) = HCF(2075,1355) = HCF(3430,2075) = HCF(5505,3430) = HCF(8935,5505) .
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Frequently Asked Questions on HCF of 5505, 8935 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 5505, 8935?
Answer: HCF of 5505, 8935 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5505, 8935 using Euclid's Algorithm?
Answer: For arbitrary numbers 5505, 8935 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
