Highest Common Factor of 7512, 7795 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 7512, 7795 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7512, 7795 is 1 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 7512, 7795 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 7512, 7795 is 1.
HCF(7512, 7795) = 1
HCF of 7512, 7795 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7512, 7795 is 1.
Highest Common Factor of 7512,7795 is 1
Step 1: Since 7795 > 7512, we apply the division lemma to 7795 and 7512, to get
7795 = 7512 x 1 + 283
Step 2: Since the reminder 7512 ≠ 0, we apply division lemma to 283 and 7512, to get
7512 = 283 x 26 + 154
Step 3: We consider the new divisor 283 and the new remainder 154, and apply the division lemma to get
283 = 154 x 1 + 129
We consider the new divisor 154 and the new remainder 129,and apply the division lemma to get
154 = 129 x 1 + 25
We consider the new divisor 129 and the new remainder 25,and apply the division lemma to get
129 = 25 x 5 + 4
We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get
25 = 4 x 6 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7512 and 7795 is 1
Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(129,25) = HCF(154,129) = HCF(283,154) = HCF(7512,283) = HCF(7795,7512) .
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Frequently Asked Questions on HCF of 7512, 7795 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 7512, 7795?
Answer: HCF of 7512, 7795 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7512, 7795 using Euclid's Algorithm?
Answer: For arbitrary numbers 7512, 7795 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.