Highest Common Factor of 7717, 6782 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 7717, 6782 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7717, 6782 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 7717, 6782 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 7717, 6782 is 1.
HCF(7717, 6782) = 1
HCF of 7717, 6782 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7717, 6782 is 1.
Highest Common Factor of 7717,6782 is 1
Step 1: Since 7717 > 6782, we apply the division lemma to 7717 and 6782, to get
7717 = 6782 x 1 + 935
Step 2: Since the reminder 6782 ≠ 0, we apply division lemma to 935 and 6782, to get
6782 = 935 x 7 + 237
Step 3: We consider the new divisor 935 and the new remainder 237, and apply the division lemma to get
935 = 237 x 3 + 224
We consider the new divisor 237 and the new remainder 224,and apply the division lemma to get
237 = 224 x 1 + 13
We consider the new divisor 224 and the new remainder 13,and apply the division lemma to get
224 = 13 x 17 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7717 and 6782 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(224,13) = HCF(237,224) = HCF(935,237) = HCF(6782,935) = HCF(7717,6782) .
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Frequently Asked Questions on HCF of 7717, 6782 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 7717, 6782?
Answer: HCF of 7717, 6782 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7717, 6782 using Euclid's Algorithm?
Answer: For arbitrary numbers 7717, 6782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.