Highest Common Factor of 7750, 2655 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 7750, 2655 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7750, 2655 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 7750, 2655 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 7750, 2655 is 5.
HCF(7750, 2655) = 5
HCF of 7750, 2655 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7750, 2655 is 5.
Highest Common Factor of 7750,2655 is 5
Step 1: Since 7750 > 2655, we apply the division lemma to 7750 and 2655, to get
7750 = 2655 x 2 + 2440
Step 2: Since the reminder 2655 ≠ 0, we apply division lemma to 2440 and 2655, to get
2655 = 2440 x 1 + 215
Step 3: We consider the new divisor 2440 and the new remainder 215, and apply the division lemma to get
2440 = 215 x 11 + 75
We consider the new divisor 215 and the new remainder 75,and apply the division lemma to get
215 = 75 x 2 + 65
We consider the new divisor 75 and the new remainder 65,and apply the division lemma to get
75 = 65 x 1 + 10
We consider the new divisor 65 and the new remainder 10,and apply the division lemma to get
65 = 10 x 6 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7750 and 2655 is 5
Notice that 5 = HCF(10,5) = HCF(65,10) = HCF(75,65) = HCF(215,75) = HCF(2440,215) = HCF(2655,2440) = HCF(7750,2655) .
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Frequently Asked Questions on HCF of 7750, 2655 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 7750, 2655?
Answer: HCF of 7750, 2655 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7750, 2655 using Euclid's Algorithm?
Answer: For arbitrary numbers 7750, 2655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.