Highest Common Factor of 850, 750, 626 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 850, 750, 626 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 850, 750, 626 is 2 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 850, 750, 626 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 850, 750, 626 is 2.
HCF(850, 750, 626) = 2
HCF of 850, 750, 626 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 850, 750, 626 is 2.
Highest Common Factor of 850,750,626 is 2
Step 1: Since 850 > 750, we apply the division lemma to 850 and 750, to get
850 = 750 x 1 + 100
Step 2: Since the reminder 750 ≠ 0, we apply division lemma to 100 and 750, to get
750 = 100 x 7 + 50
Step 3: We consider the new divisor 100 and the new remainder 50, and apply the division lemma to get
100 = 50 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 50, the HCF of 850 and 750 is 50
Notice that 50 = HCF(100,50) = HCF(750,100) = HCF(850,750) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 626 > 50, we apply the division lemma to 626 and 50, to get
626 = 50 x 12 + 26
Step 2: Since the reminder 50 ≠ 0, we apply division lemma to 26 and 50, to get
50 = 26 x 1 + 24
Step 3: We consider the new divisor 26 and the new remainder 24, and apply the division lemma to get
26 = 24 x 1 + 2
We consider the new divisor 24 and the new remainder 2, and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 50 and 626 is 2
Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(50,26) = HCF(626,50) .
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Frequently Asked Questions on HCF of 850, 750, 626 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 850, 750, 626?
Answer: HCF of 850, 750, 626 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 850, 750, 626 using Euclid's Algorithm?
Answer: For arbitrary numbers 850, 750, 626 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.