Highest Common Factor of 725, 8615, 8450 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 725, 8615, 8450 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 725, 8615, 8450 is 5 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 725, 8615, 8450 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 725, 8615, 8450 is 5.
HCF(725, 8615, 8450) = 5
HCF of 725, 8615, 8450 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 725, 8615, 8450 is 5.
Highest Common Factor of 725,8615,8450 is 5
Step 1: Since 8615 > 725, we apply the division lemma to 8615 and 725, to get
8615 = 725 x 11 + 640
Step 2: Since the reminder 725 ≠ 0, we apply division lemma to 640 and 725, to get
725 = 640 x 1 + 85
Step 3: We consider the new divisor 640 and the new remainder 85, and apply the division lemma to get
640 = 85 x 7 + 45
We consider the new divisor 85 and the new remainder 45,and apply the division lemma to get
85 = 45 x 1 + 40
We consider the new divisor 45 and the new remainder 40,and apply the division lemma to get
45 = 40 x 1 + 5
We consider the new divisor 40 and the new remainder 5,and apply the division lemma to get
40 = 5 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 725 and 8615 is 5
Notice that 5 = HCF(40,5) = HCF(45,40) = HCF(85,45) = HCF(640,85) = HCF(725,640) = HCF(8615,725) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8450 > 5, we apply the division lemma to 8450 and 5, to get
8450 = 5 x 1690 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 8450 is 5
Notice that 5 = HCF(8450,5) .
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Frequently Asked Questions on HCF of 725, 8615, 8450 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 725, 8615, 8450?
Answer: HCF of 725, 8615, 8450 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 725, 8615, 8450 using Euclid's Algorithm?
Answer: For arbitrary numbers 725, 8615, 8450 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.