Highest Common Factor of 8030, 4480 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 8030, 4480 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 8030, 4480 is 10 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 8030, 4480 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 8030, 4480 is 10.
HCF(8030, 4480) = 10
HCF of 8030, 4480 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8030, 4480 is 10.
Highest Common Factor of 8030,4480 is 10
Step 1: Since 8030 > 4480, we apply the division lemma to 8030 and 4480, to get
8030 = 4480 x 1 + 3550
Step 2: Since the reminder 4480 ≠ 0, we apply division lemma to 3550 and 4480, to get
4480 = 3550 x 1 + 930
Step 3: We consider the new divisor 3550 and the new remainder 930, and apply the division lemma to get
3550 = 930 x 3 + 760
We consider the new divisor 930 and the new remainder 760,and apply the division lemma to get
930 = 760 x 1 + 170
We consider the new divisor 760 and the new remainder 170,and apply the division lemma to get
760 = 170 x 4 + 80
We consider the new divisor 170 and the new remainder 80,and apply the division lemma to get
170 = 80 x 2 + 10
We consider the new divisor 80 and the new remainder 10,and apply the division lemma to get
80 = 10 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 8030 and 4480 is 10
Notice that 10 = HCF(80,10) = HCF(170,80) = HCF(760,170) = HCF(930,760) = HCF(3550,930) = HCF(4480,3550) = HCF(8030,4480) .
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Frequently Asked Questions on HCF of 8030, 4480 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 8030, 4480?
Answer: HCF of 8030, 4480 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8030, 4480 using Euclid's Algorithm?
Answer: For arbitrary numbers 8030, 4480 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.