Highest Common Factor of 4600, 7480 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 4600, 7480 i.e. 40 the largest integer that leaves a remainder zero for all numbers.
HCF of 4600, 7480 is 40 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 4600, 7480 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 4600, 7480 is 40.
HCF(4600, 7480) = 40
HCF of 4600, 7480 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4600, 7480 is 40.
Highest Common Factor of 4600,7480 is 40
Step 1: Since 7480 > 4600, we apply the division lemma to 7480 and 4600, to get
7480 = 4600 x 1 + 2880
Step 2: Since the reminder 4600 ≠ 0, we apply division lemma to 2880 and 4600, to get
4600 = 2880 x 1 + 1720
Step 3: We consider the new divisor 2880 and the new remainder 1720, and apply the division lemma to get
2880 = 1720 x 1 + 1160
We consider the new divisor 1720 and the new remainder 1160,and apply the division lemma to get
1720 = 1160 x 1 + 560
We consider the new divisor 1160 and the new remainder 560,and apply the division lemma to get
1160 = 560 x 2 + 40
We consider the new divisor 560 and the new remainder 40,and apply the division lemma to get
560 = 40 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 40, the HCF of 4600 and 7480 is 40
Notice that 40 = HCF(560,40) = HCF(1160,560) = HCF(1720,1160) = HCF(2880,1720) = HCF(4600,2880) = HCF(7480,4600) .
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Frequently Asked Questions on HCF of 4600, 7480 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 4600, 7480?
Answer: HCF of 4600, 7480 is 40 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4600, 7480 using Euclid's Algorithm?
Answer: For arbitrary numbers 4600, 7480 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
