Highest Common Factor of 655, 842, 78, 503 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 655, 842, 78, 503 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 655, 842, 78, 503 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 655, 842, 78, 503 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 655, 842, 78, 503 is 1.
HCF(655, 842, 78, 503) = 1
HCF of 655, 842, 78, 503 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 655, 842, 78, 503 is 1.
Highest Common Factor of 655,842,78,503 is 1
Step 1: Since 842 > 655, we apply the division lemma to 842 and 655, to get
842 = 655 x 1 + 187
Step 2: Since the reminder 655 ≠ 0, we apply division lemma to 187 and 655, to get
655 = 187 x 3 + 94
Step 3: We consider the new divisor 187 and the new remainder 94, and apply the division lemma to get
187 = 94 x 1 + 93
We consider the new divisor 94 and the new remainder 93,and apply the division lemma to get
94 = 93 x 1 + 1
We consider the new divisor 93 and the new remainder 1,and apply the division lemma to get
93 = 1 x 93 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 655 and 842 is 1
Notice that 1 = HCF(93,1) = HCF(94,93) = HCF(187,94) = HCF(655,187) = HCF(842,655) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 78 > 1, we apply the division lemma to 78 and 1, to get
78 = 1 x 78 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78 is 1
Notice that 1 = HCF(78,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 503 > 1, we apply the division lemma to 503 and 1, to get
503 = 1 x 503 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 503 is 1
Notice that 1 = HCF(503,1) .
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Frequently Asked Questions on HCF of 655, 842, 78, 503 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 655, 842, 78, 503?
Answer: HCF of 655, 842, 78, 503 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 655, 842, 78, 503 using Euclid's Algorithm?
Answer: For arbitrary numbers 655, 842, 78, 503 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.