Highest Common Factor of 7735, 5555 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 7735, 5555 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7735, 5555 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 7735, 5555 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 7735, 5555 is 5.
HCF(7735, 5555) = 5
HCF of 7735, 5555 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7735, 5555 is 5.
Highest Common Factor of 7735,5555 is 5
Step 1: Since 7735 > 5555, we apply the division lemma to 7735 and 5555, to get
7735 = 5555 x 1 + 2180
Step 2: Since the reminder 5555 ≠ 0, we apply division lemma to 2180 and 5555, to get
5555 = 2180 x 2 + 1195
Step 3: We consider the new divisor 2180 and the new remainder 1195, and apply the division lemma to get
2180 = 1195 x 1 + 985
We consider the new divisor 1195 and the new remainder 985,and apply the division lemma to get
1195 = 985 x 1 + 210
We consider the new divisor 985 and the new remainder 210,and apply the division lemma to get
985 = 210 x 4 + 145
We consider the new divisor 210 and the new remainder 145,and apply the division lemma to get
210 = 145 x 1 + 65
We consider the new divisor 145 and the new remainder 65,and apply the division lemma to get
145 = 65 x 2 + 15
We consider the new divisor 65 and the new remainder 15,and apply the division lemma to get
65 = 15 x 4 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7735 and 5555 is 5
Notice that 5 = HCF(15,5) = HCF(65,15) = HCF(145,65) = HCF(210,145) = HCF(985,210) = HCF(1195,985) = HCF(2180,1195) = HCF(5555,2180) = HCF(7735,5555) .
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Frequently Asked Questions on HCF of 7735, 5555 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 7735, 5555?
Answer: HCF of 7735, 5555 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7735, 5555 using Euclid's Algorithm?
Answer: For arbitrary numbers 7735, 5555 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.