Highest Common Factor of 7745, 7420 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 7745, 7420 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7745, 7420 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 7745, 7420 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 7745, 7420 is 5.
HCF(7745, 7420) = 5
HCF of 7745, 7420 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7745, 7420 is 5.
Highest Common Factor of 7745,7420 is 5
Step 1: Since 7745 > 7420, we apply the division lemma to 7745 and 7420, to get
7745 = 7420 x 1 + 325
Step 2: Since the reminder 7420 ≠ 0, we apply division lemma to 325 and 7420, to get
7420 = 325 x 22 + 270
Step 3: We consider the new divisor 325 and the new remainder 270, and apply the division lemma to get
325 = 270 x 1 + 55
We consider the new divisor 270 and the new remainder 55,and apply the division lemma to get
270 = 55 x 4 + 50
We consider the new divisor 55 and the new remainder 50,and apply the division lemma to get
55 = 50 x 1 + 5
We consider the new divisor 50 and the new remainder 5,and apply the division lemma to get
50 = 5 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7745 and 7420 is 5
Notice that 5 = HCF(50,5) = HCF(55,50) = HCF(270,55) = HCF(325,270) = HCF(7420,325) = HCF(7745,7420) .
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Frequently Asked Questions on HCF of 7745, 7420 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 7745, 7420?
Answer: HCF of 7745, 7420 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7745, 7420 using Euclid's Algorithm?
Answer: For arbitrary numbers 7745, 7420 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.