Highest Common Factor of 777, 567, 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 777, 567, 534 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 777, 567, 534 is 3 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 777, 567, 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 777, 567, 534 is 3.
HCF(777, 567, 534) = 3
HCF of 777, 567, 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 777, 567, 534 is 3.
Highest Common Factor of 777,567,534 is 3
Step 1: Since 777 > 567, we apply the division lemma to 777 and 567, to get
777 = 567 x 1 + 210
Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 210 and 567, to get
567 = 210 x 2 + 147
Step 3: We consider the new divisor 210 and the new remainder 147, and apply the division lemma to get
210 = 147 x 1 + 63
We consider the new divisor 147 and the new remainder 63,and apply the division lemma to get
147 = 63 x 2 + 21
We consider the new divisor 63 and the new remainder 21,and apply the division lemma to get
63 = 21 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 777 and 567 is 21
Notice that 21 = HCF(63,21) = HCF(147,63) = HCF(210,147) = HCF(567,210) = HCF(777,567) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 534 > 21, we apply the division lemma to 534 and 21, to get
534 = 21 x 25 + 9
Step 2: Since the reminder 21 ≠ 0, we apply division lemma to 9 and 21, to get
21 = 9 x 2 + 3
Step 3: We consider the new divisor 9 and the new remainder 3, and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 21 and 534 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(534,21) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 777, 567, 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 777, 567, 534?
Answer: HCF of 777, 567, 534 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 777, 567, 534 using Euclid's Algorithm?
Answer: For arbitrary numbers 777, 567, 534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
