Highest Common Factor of 7782, 534 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 7782, 534 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 7782, 534 is 6 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 7782, 534 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 7782, 534 is 6.
HCF(7782, 534) = 6
HCF of 7782, 534 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7782, 534 is 6.
Highest Common Factor of 7782,534 is 6
Step 1: Since 7782 > 534, we apply the division lemma to 7782 and 534, to get
7782 = 534 x 14 + 306
Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 306 and 534, to get
534 = 306 x 1 + 228
Step 3: We consider the new divisor 306 and the new remainder 228, and apply the division lemma to get
306 = 228 x 1 + 78
We consider the new divisor 228 and the new remainder 78,and apply the division lemma to get
228 = 78 x 2 + 72
We consider the new divisor 78 and the new remainder 72,and apply the division lemma to get
78 = 72 x 1 + 6
We consider the new divisor 72 and the new remainder 6,and apply the division lemma to get
72 = 6 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 7782 and 534 is 6
Notice that 6 = HCF(72,6) = HCF(78,72) = HCF(228,78) = HCF(306,228) = HCF(534,306) = HCF(7782,534) .
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Frequently Asked Questions on HCF of 7782, 534 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 7782, 534?
Answer: HCF of 7782, 534 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7782, 534 using Euclid's Algorithm?
Answer: For arbitrary numbers 7782, 534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
