Highest Common Factor of 7762, 6653 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 7762, 6653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7762, 6653 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 7762, 6653 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 7762, 6653 is 1.
HCF(7762, 6653) = 1
HCF of 7762, 6653 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7762, 6653 is 1.
Highest Common Factor of 7762,6653 is 1
Step 1: Since 7762 > 6653, we apply the division lemma to 7762 and 6653, to get
7762 = 6653 x 1 + 1109
Step 2: Since the reminder 6653 ≠ 0, we apply division lemma to 1109 and 6653, to get
6653 = 1109 x 5 + 1108
Step 3: We consider the new divisor 1109 and the new remainder 1108, and apply the division lemma to get
1109 = 1108 x 1 + 1
We consider the new divisor 1108 and the new remainder 1, and apply the division lemma to get
1108 = 1 x 1108 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7762 and 6653 is 1
Notice that 1 = HCF(1108,1) = HCF(1109,1108) = HCF(6653,1109) = HCF(7762,6653) .
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Frequently Asked Questions on HCF of 7762, 6653 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 7762, 6653?
Answer: HCF of 7762, 6653 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7762, 6653 using Euclid's Algorithm?
Answer: For arbitrary numbers 7762, 6653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
