Highest Common Factor of 7235, 4310 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 7235, 4310 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7235, 4310 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 7235, 4310 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 7235, 4310 is 5.
HCF(7235, 4310) = 5
HCF of 7235, 4310 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7235, 4310 is 5.
Highest Common Factor of 7235,4310 is 5
Step 1: Since 7235 > 4310, we apply the division lemma to 7235 and 4310, to get
7235 = 4310 x 1 + 2925
Step 2: Since the reminder 4310 ≠ 0, we apply division lemma to 2925 and 4310, to get
4310 = 2925 x 1 + 1385
Step 3: We consider the new divisor 2925 and the new remainder 1385, and apply the division lemma to get
2925 = 1385 x 2 + 155
We consider the new divisor 1385 and the new remainder 155,and apply the division lemma to get
1385 = 155 x 8 + 145
We consider the new divisor 155 and the new remainder 145,and apply the division lemma to get
155 = 145 x 1 + 10
We consider the new divisor 145 and the new remainder 10,and apply the division lemma to get
145 = 10 x 14 + 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 7235 and 4310 is 5
Notice that 5 = HCF(10,5) = HCF(145,10) = HCF(155,145) = HCF(1385,155) = HCF(2925,1385) = HCF(4310,2925) = HCF(7235,4310) .
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Frequently Asked Questions on HCF of 7235, 4310 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 7235, 4310?
Answer: HCF of 7235, 4310 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7235, 4310 using Euclid's Algorithm?
Answer: For arbitrary numbers 7235, 4310 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.