Highest Common Factor of 937, 803, 625 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 937, 803, 625 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 937, 803, 625 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 937, 803, 625 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 937, 803, 625 is 1.
HCF(937, 803, 625) = 1
HCF of 937, 803, 625 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 937, 803, 625 is 1.
Highest Common Factor of 937,803,625 is 1
Step 1: Since 937 > 803, we apply the division lemma to 937 and 803, to get
937 = 803 x 1 + 134
Step 2: Since the reminder 803 ≠ 0, we apply division lemma to 134 and 803, to get
803 = 134 x 5 + 133
Step 3: We consider the new divisor 134 and the new remainder 133, and apply the division lemma to get
134 = 133 x 1 + 1
We consider the new divisor 133 and the new remainder 1, and apply the division lemma to get
133 = 1 x 133 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 937 and 803 is 1
Notice that 1 = HCF(133,1) = HCF(134,133) = HCF(803,134) = HCF(937,803) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 625 > 1, we apply the division lemma to 625 and 1, to get
625 = 1 x 625 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 625 is 1
Notice that 1 = HCF(625,1) .
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Frequently Asked Questions on HCF of 937, 803, 625 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 937, 803, 625?
Answer: HCF of 937, 803, 625 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 937, 803, 625 using Euclid's Algorithm?
Answer: For arbitrary numbers 937, 803, 625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.