Highest Common Factor of 503, 969, 304, 78 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 503, 969, 304, 78 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 503, 969, 304, 78 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 503, 969, 304, 78 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 503, 969, 304, 78 is 1.
HCF(503, 969, 304, 78) = 1
HCF of 503, 969, 304, 78 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 503, 969, 304, 78 is 1.
Highest Common Factor of 503,969,304,78 is 1
Step 1: Since 969 > 503, we apply the division lemma to 969 and 503, to get
969 = 503 x 1 + 466
Step 2: Since the reminder 503 ≠ 0, we apply division lemma to 466 and 503, to get
503 = 466 x 1 + 37
Step 3: We consider the new divisor 466 and the new remainder 37, and apply the division lemma to get
466 = 37 x 12 + 22
We consider the new divisor 37 and the new remainder 22,and apply the division lemma to get
37 = 22 x 1 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 503 and 969 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(37,22) = HCF(466,37) = HCF(503,466) = HCF(969,503) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 304 > 1, we apply the division lemma to 304 and 1, to get
304 = 1 x 304 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 304 is 1
Notice that 1 = HCF(304,1) .
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) .
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Frequently Asked Questions on HCF of 503, 969, 304, 78 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 503, 969, 304, 78?
Answer: HCF of 503, 969, 304, 78 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 503, 969, 304, 78 using Euclid's Algorithm?
Answer: For arbitrary numbers 503, 969, 304, 78 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
