Highest Common Factor of 776, 921 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 776, 921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 776, 921 is 1 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 776, 921 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 776, 921 is 1.
HCF(776, 921) = 1
HCF of 776, 921 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 776, 921 is 1.
Highest Common Factor of 776,921 is 1
Step 1: Since 921 > 776, we apply the division lemma to 921 and 776, to get
921 = 776 x 1 + 145
Step 2: Since the reminder 776 ≠ 0, we apply division lemma to 145 and 776, to get
776 = 145 x 5 + 51
Step 3: We consider the new divisor 145 and the new remainder 51, and apply the division lemma to get
145 = 51 x 2 + 43
We consider the new divisor 51 and the new remainder 43,and apply the division lemma to get
51 = 43 x 1 + 8
We consider the new divisor 43 and the new remainder 8,and apply the division lemma to get
43 = 8 x 5 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 776 and 921 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(43,8) = HCF(51,43) = HCF(145,51) = HCF(776,145) = HCF(921,776) .
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Frequently Asked Questions on HCF of 776, 921 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 776, 921?
Answer: HCF of 776, 921 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 776, 921 using Euclid's Algorithm?
Answer: For arbitrary numbers 776, 921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.