Highest Common Factor of 4955, 4235 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 4955, 4235 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4955, 4235 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 4955, 4235 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 4955, 4235 is 5.
HCF(4955, 4235) = 5
HCF of 4955, 4235 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4955, 4235 is 5.
Highest Common Factor of 4955,4235 is 5
Step 1: Since 4955 > 4235, we apply the division lemma to 4955 and 4235, to get
4955 = 4235 x 1 + 720
Step 2: Since the reminder 4235 ≠ 0, we apply division lemma to 720 and 4235, to get
4235 = 720 x 5 + 635
Step 3: 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 4955 and 4235 is 5
Notice that 5 = HCF(40,5) = HCF(85,40) = HCF(635,85) = HCF(720,635) = HCF(4235,720) = HCF(4955,4235) .
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Frequently Asked Questions on HCF of 4955, 4235 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 4955, 4235?
Answer: HCF of 4955, 4235 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4955, 4235 using Euclid's Algorithm?
Answer: For arbitrary numbers 4955, 4235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.