Highest Common Factor of 7220, 4004 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 7220, 4004 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7220, 4004 is 4 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 7220, 4004 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 7220, 4004 is 4.
HCF(7220, 4004) = 4
HCF of 7220, 4004 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7220, 4004 is 4.
Highest Common Factor of 7220,4004 is 4
Step 1: Since 7220 > 4004, we apply the division lemma to 7220 and 4004, to get
7220 = 4004 x 1 + 3216
Step 2: Since the reminder 4004 ≠ 0, we apply division lemma to 3216 and 4004, to get
4004 = 3216 x 1 + 788
Step 3: We consider the new divisor 3216 and the new remainder 788, and apply the division lemma to get
3216 = 788 x 4 + 64
We consider the new divisor 788 and the new remainder 64,and apply the division lemma to get
788 = 64 x 12 + 20
We consider the new divisor 64 and the new remainder 20,and apply the division lemma to get
64 = 20 x 3 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7220 and 4004 is 4
Notice that 4 = HCF(20,4) = HCF(64,20) = HCF(788,64) = HCF(3216,788) = HCF(4004,3216) = HCF(7220,4004) .
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Frequently Asked Questions on HCF of 7220, 4004 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 7220, 4004?
Answer: HCF of 7220, 4004 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7220, 4004 using Euclid's Algorithm?
Answer: For arbitrary numbers 7220, 4004 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.