Highest Common Factor of 746, 1310, 5463 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 746, 1310, 5463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 746, 1310, 5463 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 746, 1310, 5463 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 746, 1310, 5463 is 1.
HCF(746, 1310, 5463) = 1
HCF of 746, 1310, 5463 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 746, 1310, 5463 is 1.
Highest Common Factor of 746,1310,5463 is 1
Step 1: Since 1310 > 746, we apply the division lemma to 1310 and 746, to get
1310 = 746 x 1 + 564
Step 2: Since the reminder 746 ≠ 0, we apply division lemma to 564 and 746, to get
746 = 564 x 1 + 182
Step 3: We consider the new divisor 564 and the new remainder 182, and apply the division lemma to get
564 = 182 x 3 + 18
We consider the new divisor 182 and the new remainder 18,and apply the division lemma to get
182 = 18 x 10 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 746 and 1310 is 2
Notice that 2 = HCF(18,2) = HCF(182,18) = HCF(564,182) = HCF(746,564) = HCF(1310,746) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5463 > 2, we apply the division lemma to 5463 and 2, to get
5463 = 2 x 2731 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 5463 is 1
Notice that 1 = HCF(2,1) = HCF(5463,2) .
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Frequently Asked Questions on HCF of 746, 1310, 5463 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 746, 1310, 5463?
Answer: HCF of 746, 1310, 5463 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 746, 1310, 5463 using Euclid's Algorithm?
Answer: For arbitrary numbers 746, 1310, 5463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.