Highest Common Factor of 7300, 4465 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 7300, 4465 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7300, 4465 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 7300, 4465 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 7300, 4465 is 5.
HCF(7300, 4465) = 5
HCF of 7300, 4465 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7300, 4465 is 5.
Highest Common Factor of 7300,4465 is 5
Step 1: Since 7300 > 4465, we apply the division lemma to 7300 and 4465, to get
7300 = 4465 x 1 + 2835
Step 2: Since the reminder 4465 ≠ 0, we apply division lemma to 2835 and 4465, to get
4465 = 2835 x 1 + 1630
Step 3: We consider the new divisor 2835 and the new remainder 1630, and apply the division lemma to get
2835 = 1630 x 1 + 1205
We consider the new divisor 1630 and the new remainder 1205,and apply the division lemma to get
1630 = 1205 x 1 + 425
We consider the new divisor 1205 and the new remainder 425,and apply the division lemma to get
1205 = 425 x 2 + 355
We consider the new divisor 425 and the new remainder 355,and apply the division lemma to get
425 = 355 x 1 + 70
We consider the new divisor 355 and the new remainder 70,and apply the division lemma to get
355 = 70 x 5 + 5
We consider the new divisor 70 and the new remainder 5,and apply the division lemma to get
70 = 5 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7300 and 4465 is 5
Notice that 5 = HCF(70,5) = HCF(355,70) = HCF(425,355) = HCF(1205,425) = HCF(1630,1205) = HCF(2835,1630) = HCF(4465,2835) = HCF(7300,4465) .
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Frequently Asked Questions on HCF of 7300, 4465 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 7300, 4465?
Answer: HCF of 7300, 4465 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7300, 4465 using Euclid's Algorithm?
Answer: For arbitrary numbers 7300, 4465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.