Highest Common Factor of 777, 987, 934, 92 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, 987, 934, 92 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 777, 987, 934, 92 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 777, 987, 934, 92 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, 987, 934, 92 is 1.
HCF(777, 987, 934, 92) = 1
HCF of 777, 987, 934, 92 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, 987, 934, 92 is 1.
Highest Common Factor of 777,987,934,92 is 1
Step 1: Since 987 > 777, we apply the division lemma to 987 and 777, to get
987 = 777 x 1 + 210
Step 2: Since the reminder 777 ≠ 0, we apply division lemma to 210 and 777, to get
777 = 210 x 3 + 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 987 is 21
Notice that 21 = HCF(63,21) = HCF(147,63) = HCF(210,147) = HCF(777,210) = HCF(987,777) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 934 > 21, we apply the division lemma to 934 and 21, to get
934 = 21 x 44 + 10
Step 2: Since the reminder 21 ≠ 0, we apply division lemma to 10 and 21, to get
21 = 10 x 2 + 1
Step 3: We consider the new divisor 10 and the new remainder 1, and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 21 and 934 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(934,21) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92 > 1, we apply the division lemma to 92 and 1, to get
92 = 1 x 92 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92 is 1
Notice that 1 = HCF(92,1) .
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Frequently Asked Questions on HCF of 777, 987, 934, 92 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, 987, 934, 92?
Answer: HCF of 777, 987, 934, 92 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 777, 987, 934, 92 using Euclid's Algorithm?
Answer: For arbitrary numbers 777, 987, 934, 92 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.