Highest Common Factor of 754, 6370 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 754, 6370 i.e. 26 the largest integer that leaves a remainder zero for all numbers.
HCF of 754, 6370 is 26 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 754, 6370 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 754, 6370 is 26.
HCF(754, 6370) = 26
HCF of 754, 6370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 754, 6370 is 26.
Highest Common Factor of 754,6370 is 26
Step 1: Since 6370 > 754, we apply the division lemma to 6370 and 754, to get
6370 = 754 x 8 + 338
Step 2: Since the reminder 754 ≠ 0, we apply division lemma to 338 and 754, to get
754 = 338 x 2 + 78
Step 3: We consider the new divisor 338 and the new remainder 78, and apply the division lemma to get
338 = 78 x 4 + 26
We consider the new divisor 78 and the new remainder 26, and apply the division lemma to get
78 = 26 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 754 and 6370 is 26
Notice that 26 = HCF(78,26) = HCF(338,78) = HCF(754,338) = HCF(6370,754) .
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Frequently Asked Questions on HCF of 754, 6370 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 754, 6370?
Answer: HCF of 754, 6370 is 26 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 754, 6370 using Euclid's Algorithm?
Answer: For arbitrary numbers 754, 6370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.