Highest Common Factor of 7710, 6836 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 7710, 6836 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7710, 6836 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 7710, 6836 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 7710, 6836 is 2.
HCF(7710, 6836) = 2
HCF of 7710, 6836 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7710, 6836 is 2.
Highest Common Factor of 7710,6836 is 2
Step 1: Since 7710 > 6836, we apply the division lemma to 7710 and 6836, to get
7710 = 6836 x 1 + 874
Step 2: Since the reminder 6836 ≠ 0, we apply division lemma to 874 and 6836, to get
6836 = 874 x 7 + 718
Step 3: We consider the new divisor 874 and the new remainder 718, and apply the division lemma to get
874 = 718 x 1 + 156
We consider the new divisor 718 and the new remainder 156,and apply the division lemma to get
718 = 156 x 4 + 94
We consider the new divisor 156 and the new remainder 94,and apply the division lemma to get
156 = 94 x 1 + 62
We consider the new divisor 94 and the new remainder 62,and apply the division lemma to get
94 = 62 x 1 + 32
We consider the new divisor 62 and the new remainder 32,and apply the division lemma to get
62 = 32 x 1 + 30
We consider the new divisor 32 and the new remainder 30,and apply the division lemma to get
32 = 30 x 1 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7710 and 6836 is 2
Notice that 2 = HCF(30,2) = HCF(32,30) = HCF(62,32) = HCF(94,62) = HCF(156,94) = HCF(718,156) = HCF(874,718) = HCF(6836,874) = HCF(7710,6836) .
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Frequently Asked Questions on HCF of 7710, 6836 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 7710, 6836?
Answer: HCF of 7710, 6836 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7710, 6836 using Euclid's Algorithm?
Answer: For arbitrary numbers 7710, 6836 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.