Highest Common Factor of 334, 871, 778 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 334, 871, 778 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 334, 871, 778 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 334, 871, 778 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 334, 871, 778 is 1.
HCF(334, 871, 778) = 1
HCF of 334, 871, 778 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 334, 871, 778 is 1.
Highest Common Factor of 334,871,778 is 1
Step 1: Since 871 > 334, we apply the division lemma to 871 and 334, to get
871 = 334 x 2 + 203
Step 2: Since the reminder 334 ≠ 0, we apply division lemma to 203 and 334, to get
334 = 203 x 1 + 131
Step 3: We consider the new divisor 203 and the new remainder 131, and apply the division lemma to get
203 = 131 x 1 + 72
We consider the new divisor 131 and the new remainder 72,and apply the division lemma to get
131 = 72 x 1 + 59
We consider the new divisor 72 and the new remainder 59,and apply the division lemma to get
72 = 59 x 1 + 13
We consider the new divisor 59 and the new remainder 13,and apply the division lemma to get
59 = 13 x 4 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 334 and 871 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(59,13) = HCF(72,59) = HCF(131,72) = HCF(203,131) = HCF(334,203) = HCF(871,334) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 778 > 1, we apply the division lemma to 778 and 1, to get
778 = 1 x 778 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 778 is 1
Notice that 1 = HCF(778,1) .
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Frequently Asked Questions on HCF of 334, 871, 778 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 334, 871, 778?
Answer: HCF of 334, 871, 778 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 334, 871, 778 using Euclid's Algorithm?
Answer: For arbitrary numbers 334, 871, 778 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.