Highest Common Factor of 350, 525, 777 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 350, 525, 777 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 350, 525, 777 is 7 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 350, 525, 777 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 350, 525, 777 is 7.
HCF(350, 525, 777) = 7
HCF of 350, 525, 777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 350, 525, 777 is 7.
Highest Common Factor of 350,525,777 is 7
Step 1: Since 525 > 350, we apply the division lemma to 525 and 350, to get
525 = 350 x 1 + 175
Step 2: Since the reminder 350 ≠ 0, we apply division lemma to 175 and 350, to get
350 = 175 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 175, the HCF of 350 and 525 is 175
Notice that 175 = HCF(350,175) = HCF(525,350) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 777 > 175, we apply the division lemma to 777 and 175, to get
777 = 175 x 4 + 77
Step 2: Since the reminder 175 ≠ 0, we apply division lemma to 77 and 175, to get
175 = 77 x 2 + 21
Step 3: We consider the new divisor 77 and the new remainder 21, and apply the division lemma to get
77 = 21 x 3 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 175 and 777 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(77,21) = HCF(175,77) = HCF(777,175) .
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Frequently Asked Questions on HCF of 350, 525, 777 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 350, 525, 777?
Answer: HCF of 350, 525, 777 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 350, 525, 777 using Euclid's Algorithm?
Answer: For arbitrary numbers 350, 525, 777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.