Highest Common Factor of 6778, 796 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 6778, 796 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6778, 796 is 2 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 6778, 796 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 6778, 796 is 2.
HCF(6778, 796) = 2
HCF of 6778, 796 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6778, 796 is 2.
Highest Common Factor of 6778,796 is 2
Step 1: Since 6778 > 796, we apply the division lemma to 6778 and 796, to get
6778 = 796 x 8 + 410
Step 2: Since the reminder 796 ≠ 0, we apply division lemma to 410 and 796, to get
796 = 410 x 1 + 386
Step 3: We consider the new divisor 410 and the new remainder 386, and apply the division lemma to get
410 = 386 x 1 + 24
We consider the new divisor 386 and the new remainder 24,and apply the division lemma to get
386 = 24 x 16 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6778 and 796 is 2
Notice that 2 = HCF(24,2) = HCF(386,24) = HCF(410,386) = HCF(796,410) = HCF(6778,796) .
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Frequently Asked Questions on HCF of 6778, 796 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 6778, 796?
Answer: HCF of 6778, 796 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6778, 796 using Euclid's Algorithm?
Answer: For arbitrary numbers 6778, 796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.