Highest Common Factor of 7756, 8246 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 7756, 8246 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 7756, 8246 is 14 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 7756, 8246 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 7756, 8246 is 14.
HCF(7756, 8246) = 14
HCF of 7756, 8246 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7756, 8246 is 14.
Highest Common Factor of 7756,8246 is 14
Step 1: Since 8246 > 7756, we apply the division lemma to 8246 and 7756, to get
8246 = 7756 x 1 + 490
Step 2: Since the reminder 7756 ≠ 0, we apply division lemma to 490 and 7756, to get
7756 = 490 x 15 + 406
Step 3: We consider the new divisor 490 and the new remainder 406, and apply the division lemma to get
490 = 406 x 1 + 84
We consider the new divisor 406 and the new remainder 84,and apply the division lemma to get
406 = 84 x 4 + 70
We consider the new divisor 84 and the new remainder 70,and apply the division lemma to get
84 = 70 x 1 + 14
We consider the new divisor 70 and the new remainder 14,and apply the division lemma to get
70 = 14 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 7756 and 8246 is 14
Notice that 14 = HCF(70,14) = HCF(84,70) = HCF(406,84) = HCF(490,406) = HCF(7756,490) = HCF(8246,7756) .
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Frequently Asked Questions on HCF of 7756, 8246 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 7756, 8246?
Answer: HCF of 7756, 8246 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7756, 8246 using Euclid's Algorithm?
Answer: For arbitrary numbers 7756, 8246 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.